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Ratio & Proportion Calculators

Golden Ratio Calculator

Find golden-ratio proportions (φ ≈ 1.618): split a length into long and short sections or extend it — used in design and layout.

Enter values

Results update as you type.

Result

Longer part (a)

61.8034

Shorter part (b)
38.1966
Total (a + b)
100
φ
1.6180339887

About the Golden Ratio Calculator

Find golden-ratio proportions (φ ≈ 1.618): split a length into long and short sections or extend it — used in design and layout.

Also known as: phi calculator, golden section, 1.618 ratio, divine proportion, golden rectangle.

How to use this calculator

  1. Enter known length, known length is the.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

φ = (1 + √5)/2 ≈ 1.6180339887 · a/b = (a+b)/a = φ

Worked example

Using the values pre-filled in the calculator above:

  • Known length = 100
  • Known length is the: Total (a + b)

the calculator returns:

  • Longer part (a): 61.8034
  • Shorter part (b): 38.1966
  • Total (a + b): 100
  • φ: 1.6180339887