Golden Ratio Calculator

Formula

The formula to calculate the Golden Ratio is:

\[ G = \frac{A+B}{A} = \frac{A}{B} \]

Where:

\(G\) is the golden ratio (approximately 1.61803398875)
\(A\) is the larger of the two values in the ratio
\(B\) is the smaller of the two values in the ratio

Golden Ratio Definition

The golden ratio is a ratio that is equal to approximately 1.61803398875. In other words, the ratio is the same as the ratio of their sum to the larger of the two quantities. So \( \frac{A}{B} = \frac{A+B}{A} \).

Example Calculation

Let's assume the following values:

Larger Value (A) = 8
Smaller Value (B) = 5

Using the formula to calculate the Golden Ratio:

\[ G = \frac{A+B}{A} = \frac{8+5}{8} = 1.625 \]

The Golden Ratio (G) is approximately 1.625.