Aspect Ratio Calculator

Calculate exact dimensions and visualize the ratio difference instantly.

Original Ratio (W1 : H1)

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New Dimensions (W2 : H2)

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Bounding Box Visualizer

Algorithmic Transparency

How Aspect Ratios & Cross-Multiplication Work

An aspect ratio describes the proportional relationship between the width and height of an image or screen. It is typically expressed as two numbers separated by a colon (e.g., 16:9).

The Core Mathematical Engine:

This tool operates entirely in your browser using the mathematical principle of proportions, solved via cross-multiplication. The core formula is:
W1 / H1 = W2 / H2

  • If you change the New Width (W2), the engine isolates H2 to find the exact proportional height:
    H2 = (H1 × W2) / W1
  • If you change the New Height (H2), the engine isolates W2 to find the exact proportional width:
    W2 = (W1 × H2) / H1

The Visualizer: The bounding box tool scales your inputs down so they fit visually on your screen while maintaining perfect mathematical proportions. The Navy box represents your starting boundaries, and the Cyan box represents the new footprint.