in the proportion 2/8=8/32, which numbers is the geometric mean of the other two numbers?

Answer 1

let the mean be x

(1/8) / x = x / (8/32)
x^2 = (1/8)(8/32)
x^2 = 1/32
x = ± 1/√32 or ± 1/(4√2)
or
± √2/8