# Geometry-8th gr

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The geometric mean x of two numbers is the positive value of x that satisfies the proportion a/x =x/b, where a and b are given. Find the geometric mean of 16 and 9.

• Geometry-8th gr -

16/x = x/9 , cross-multiply
x^2= 144
x = √144 = 12

check:
16/12 = 4/3
12/9 = 4/3

• Geometry-8th gr -

Thanks. So the geometric mean for 16 and 9 is 4/3?

• Geometry-8th gr -

NOOO, the geometric mean is 12

I merely showed that 12 is correct
a/x = x/b

the 3 numbers are:
16 , 12 , 9 , with 12 as the geometric mean

• Geometry-8th gr -

Oh okay...thanks.

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