Golden Ratio Calculator

Use this golden ratio calculator to build a matching pair of values. Enter one number for A or B. Choose what you need, then get the other value. See the sum and the ratio. View a clear golden rectangle.

What Is the Golden Ratio Calculator?

The golden ratio uses phi. Phi equals 1.618033988749895. You see this ratio in shells, flower heads, and branching. Artists and designers use it for pleasing scale. This tool applies phi to your input to produce a golden pair. A is the larger value and B is the smaller value. A divided by B equals phi. The ratio of A plus B to A equals phi. Phi has a unique property, the shape repeats inside itself. The rectangle view helps you see how the pair fits.

How to Use the Calculator

How to use this tool

1. Enter a positive number in the Enter a value field.
2. Pick the type of result you want.
3. Choose Find larger value A when your input is the smaller value B.
4. Choose Find smaller value B when your input is the larger value A.
5. Select Calculate or press Enter.
6. Review the numbers and the golden rectangle.

Inputs explained

• Enter a value as a positive number with optional decimals.
• Find larger value A means your input is the smaller value B.
• Find smaller value B means your input is the larger value A.

What you get after you calculate

• Larger value A rounded to three decimals.
• Smaller value B rounded to three decimals.
• Total A plus B rounded to three decimals.
• Ratio A divided by B shown to six decimals, close to phi.
• A golden rectangle that splits into a square A by A and a rectangle B by A.

How to read the results

A golden pair meets two checks. A divided by B equals phi. The ratio of A plus B to A equals phi. The rectangle repeats the same shape in the smaller part. That self similarity signals a true golden pair.

Limits and notes

• The calculator accepts positive numbers.
• Values round to three decimals for easy reading.
• The ratio rounds to six decimals for detail.
• The drawing scales to fit wide value ranges.
• Press Enter to run the calculation fast.
• All results use phi equal to 1.618033988749895.

Benefits of This Calculator

This golden ratio calculator builds a complete pair from one value. It now finds the matching value and draws a golden rectangle. You get clear numbers and an instant visual cue. That saves time and reduces guesswork.

Common use cases

• Web or app layout sizing. Input B equals 320 pixels. Choose Find larger value A. Output A equals 517.771 pixels.
• Hero section planning. Input A equals 500 pixels. Choose Find smaller value B. Output B equals 309.017 pixels.
• Photo cropping. Input A equals 2000 pixels. Output B equals 1236.068 pixels for a golden crop.
• Typography scale. Base text 16 points gives a headline A equals 25.888 points.
• Product sizing. Height B equals 8 centimeters gives width A equals 12.944 centimeters.

Why it helps

• Start with any one measure and get a clean companion size.
• Compare layouts fast with a trusted ratio.
• Use the rectangle to check balance at a glance.

Give It a Try!

Set one number and pick the goal. The golden ratio calculator returns a full pair with context. See A, B, the total, and the ratio to phi. Use it for design, art, or study. It keeps the math clear and the result ready.