Question

10 is the geometric mean of 4 and what number?

Answer 1

\[\sqrt{4*x}=10\]
4*x = 100
x=25

Answer 2

geometric mean \[G=\sqrt[n]{x_{1}x_{2}x_{3}...x_{n}}\]

Answer 3

When a positive value is repeated in either the means or extremes position of a proportion, that value is referred to as a geometric mean (or mean proportional) between the other two values.

4 is to 10 as 10 is to x where x is the number for which 10 is the geometric mean of 4 and x.

4/10 = 10/x
4x = 100
x = 25