Golden Ratio Calculator: Simple and Accurate

Enter one value and the calculator will automatically fill in the other to create a perfect golden ratio proportion.

The golden ratio (φ) ≈ 1.618 is a mathematical proportion found throughout nature and art.

Enter a value in either field to calculate the golden ratio proportion

How it works:

  • Enter a value in the shorter length field → the longer length is calculated as a × φ
  • Enter a value in the longer length field → the shorter length is calculated as b ÷ φ
  • The ratio b:a will always equal φ (1.618...)
  • Total length (a + b) is also in golden ratio with the longer segment (b)

Use this golden ratio calculator to create a 1.618 ratio from one input. It fills the other length in real time for clear, fast work.

Use any unit such as pixels or inches or centimeters. Keep the same unit for both fields.

What Is the Golden Ratio Calculator?

The tool computes lengths that follow the golden ratio phi. Phi is about 1.618. It equals one plus the square root of five, then divided by two.

Enter a shorter length labeled a or a longer length labeled b. The calculator then finds the matching length so the pair keeps the ratio b to a equal to phi. Total length a plus b also forms a golden ratio with b.

How the Tool Works

Enter Your Numbers

Two input fields appear on the page.

Select Clear All to reset both fields and the result area.

See Instant Results

The tool updates as you type. It shows a clear summary under the fields.

Computed lengths round to four decimals in the inputs and the summary.

Why Use This Golden Ratio Calculator?

This golden ratio calculator saves time and reduces manual errors. It keeps scale consistent across projects of any size.

How to Use This Tool

  1. Pick the field you know such as a or b.
  2. Type a positive number in that field.
  3. Watch the other field update at once.
  4. Check the summary lines: Shorter a and Longer b and Total and Ratio.
  5. Select Clear All to start a fresh set.

Notes and limits

Wrap Up

Create balanced proportions with this golden ratio calculator. Enter one length, then use the measured pair across your work.