Golden Ratio Calculator

Calculate the golden ratio between two numbers or find a missing value that satisfies the golden ratio (approximately 1.618).

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How to use this tool?

How to Use the Golden Ratio Calculator

This calculator checks if two numbers approximate the golden ratio (φ ≈ 1.618034) or finds a missing value when one number is known.

  1. Enter two numbers in the First Number and Second Number fields. Use any positive numbers (e.g., 10 and 16.18).
  2. Click Calculate (or press Enter).
  3. If both numbers are positive, the calculator shows which ratio (A/B or B/A) is closer to φ and displays the difference.
  4. If only one number is positive, it calculates the missing number that would make the ratio exactly φ.
  5. The result shows the golden ratio approximation (φ ≈ X.XXXXXX) and a detailed explanation below.

Note: At least one number must be positive. Use any decimal or whole number—no specific units required.

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Frequently Asked Questions

The golden ratio (φ) is approximately 1.6180339887. It is an irrational number often found in nature, art, and architecture.

Enter two numbers to see how close their ratio is to φ, or leave one field empty to find the missing value that makes the ratio equal to φ.

The golden ratio is typically defined for positive numbers. This calculator requires at least one positive number.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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