The mean proportional between 2 and 8 is?
- 6
- 4
- 8
- None of these
Explanation
Set up the ratio.
By definition, if x is the mean proportional between two numbers a and b, they form a geometric progression:
a/x: x/b
Substituting a=2 and b=4
2/x: x/8
Solve for x
Cross-multiply the fractions to solve for our unknown variable
x^2 = 2 x 8
x^2 = 16
Take the square root of both sides:
x=√16
x = 4
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