# How do you find the geometric mean between 5 and 20?

Jan 4, 2018

$10$

#### Explanation:

I set geometric mean as $x$. From definition of geometric mean,

$\frac{5}{x} = \frac{x}{20}$

Hence,

$x \cdot x = 20 \cdot 5$

${x}^{2} = 100$

$x = 10$