diff --git a/__tests__/aspectConstraints.test.tsx b/__tests__/aspectConstraints.test.tsx
new file mode 100644
index 00000000..63994bd4
--- /dev/null
+++ b/__tests__/aspectConstraints.test.tsx
@@ -0,0 +1,58 @@
+import React from 'react';
+import {render} from '@testing-library/react';
+import Resizable from '../lib/Resizable';
+
+// Bounds can come from the available container space rather than the image ratio.
+describe('locked aspect ratio with independent size constraints', () => {
+  test.each([
+    ['width maximum', [100, 50], [420, 400], [300, 150], [420, 210]],
+    ['height maximum', [100, 50], [600, 210], [300, 150], [420, 210]],
+    ['height minimum', [100, 130], [900, 450], [-200, -100], [260, 130]],
+    ['width minimum', [260, 50], [900, 450], [-200, -100], [260, 130]],
+  ])('%s preserves the ratio through overshoot, return and the next drag', (_label, min, max, delta, bound) => {
+    const ref = React.createRef<Resizable>();
+    let size = {width: 300, height: 150};
+    const observe = (_event, data) => { size = data.size; };
+    const element = () => <Resizable ref={ref} {...size} lockAspectRatio
+      minConstraints={min} maxConstraints={max}
+      onResizeStart={observe} onResize={observe} onResizeStop={observe}><div /></Resizable>;
+    const {rerender} = render(element());
+    const node = document.createElement('span');
+    const send = (name, x, y) => {
+      ref.current.resizeHandler(name, 'se')({} as React.SyntheticEvent, {node, deltaX: x, deltaY: y});
+      rerender(element());
+      expect(size.width).toBeCloseTo(2 * size.height);
+      expect(size.width).toBeGreaterThanOrEqual(min[0]);
+      expect(size.height).toBeGreaterThanOrEqual(min[1]);
+      expect(size.width).toBeLessThanOrEqual(max[0]);
+      expect(size.height).toBeLessThanOrEqual(max[1]);
+    };
+    send('onResizeStart', 0, 0);
+    send('onResize', ...delta);
+    expect(size).toEqual({width: bound[0], height: bound[1]});
+    send('onResize', ...delta);
+    send('onResize', 60 - 2 * delta[0], 30 - 2 * delta[1]);
+    expect(size).toEqual({width: 360, height: 180});
+    send('onResizeStop', 0, 0);
+    send('onResizeStart', 0, 0);
+    send('onResize', 20, 10);
+    send('onResizeStop', 0, 0);
+    expect(size).toEqual({width: 380, height: 190});
+  });
+
+  test('uses both bounds for a non-integer ratio', () => {
+    const ref = React.createRef<Resizable>();
+    render(<Resizable ref={ref} width={150} height={100} lockAspectRatio
+      minConstraints={[120, 90]} maxConstraints={[450, 200]}><div /></Resizable>);
+    expect(ref.current.runConstraints(600, 400)).toEqual([300, 200]);
+    ref.current.resetData();
+    expect(ref.current.runConstraints(30, 20)).toEqual([135, 90]);
+  });
+
+  test('keeps size bounds authoritative if they cannot satisfy the ratio', () => {
+    const ref = React.createRef<Resizable>();
+    render(<Resizable ref={ref} width={300} height={150} lockAspectRatio
+      minConstraints={[100, 200]} maxConstraints={[300, 250]}><div /></Resizable>);
+    expect(ref.current.runConstraints(600, 300)).toEqual([300, 250]);
+  });
+});
diff --git a/lib/Resizable.tsx b/lib/Resizable.tsx
index e3dee340..735f408f 100644
--- a/lib/Resizable.tsx
+++ b/lib/Resizable.tsx
@@ -35,13 +35,12 @@ export default class Resizable extends React.Component<Props, {}> {
   // Clamp width and height within provided constraints
   runConstraints(width: number, height: number): [number, number] {
     const {minConstraints, maxConstraints, lockAspectRatio} = this.props;
+    const ratio = this.props.width / this.props.height;
     // short circuit
     if (!minConstraints && !maxConstraints && !lockAspectRatio) return [width, height];
 
     // If constraining to min and max, we need to also fit width and height to aspect ratio.
     if (lockAspectRatio) {
-      const ratio = this.props.width / this.props.height;
-
       // Project (width, height) onto the line w = ratio * h.
       // Distributes tracking error across both axes instead of forcing one to overshoot.
       // t = (w * ratio + h) / (ratio^2 + 1),  new_w = t * ratio,  new_h = t
@@ -58,13 +57,23 @@ export default class Resizable extends React.Component<Props, {}> {
     width += slackW;
     height += slackH;
 
-    if (minConstraints) {
-      width = Math.max(minConstraints[0], width);
-      height = Math.max(minConstraints[1], height);
-    }
-    if (maxConstraints) {
-      width = Math.min(maxConstraints[0], width);
-      height = Math.min(maxConstraints[1], height);
+    // Intersect both dimensions' bounds on the aspect-ratio line. Clamping
+    // each dimension independently would change the ratio at either bound.
+    const minWidth = minConstraints ? Math.max(minConstraints[0], minConstraints[1] * ratio) : -Infinity;
+    const maxWidth = maxConstraints ? Math.min(maxConstraints[0], maxConstraints[1] * ratio) : Infinity;
+    if (lockAspectRatio && ratio > 0 && Number.isFinite(ratio) && minWidth <= maxWidth) {
+      width = Math.max(minWidth, Math.min(maxWidth, width));
+      height = width / ratio;
+    } else {
+      // Preserve size-constraint precedence when no size can satisfy the ratio.
+      if (minConstraints) {
+        width = Math.max(minConstraints[0], width);
+        height = Math.max(minConstraints[1], height);
+      }
+      if (maxConstraints) {
+        width = Math.min(maxConstraints[0], width);
+        height = Math.min(maxConstraints[1], height);
+      }
     }
 
     // If the width or height changed, we must have introduced some slack. Record it for the next iteration.