Online Calculators

# Golden Ratio Calculator

Golden Ratio Calculator
• Enter just one number to create a golden ratio or,
• Enter both A and B for comparison or,
• Enter both A+B and A for comparision
:
=
:
:
=
:

A = 7.416
B = 4.583
A+B = 12
A/B = 1.618
(A+B)/A = 1.618
PHI = 1.618
A + B
:
A
=
A
:
B
12
:
7.416
=
7.416
:
4.583
Representations
Ratios
A + B
A
B
12
7.416
4.583

Related Equivalent Golden Ratios:
Larger Ratio
19.416
12
7.416
Smaller Ratio
7.416
4.583
2.833

## Calculator Use

Use this calculator to find values that satisfy the golden ratio where (A+B):A = A:B. Enter any ratio term to calculate the missing golden ratio values. The answer also includes two additional, equivalent sets of golden ratio terms based on the golden ratio formula.

## What is the Golden Ratio

The golden ratio, also known as the golden mean, is the value phi where phi = (A+B)/A = A/B.

## Golden Ratio Formulas:

For this calculator we use phi = ( 1 + sqrt(5)) / 2, which is rounded to 1.6180339887499. You can round your answers A and B to whole numbers or decimals up to 6 places.

### References

An exact value for the golden ratio phi can be researched at MathWorld's Golden Ratio page.

Cite this content, page or calculator as:

Furey, Edward "Golden Ratio Calculator" at https://www.calculatorsoup.com/calculators/math/goldenratio.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 18, 2023