Posted by **Mona** on Thursday, January 31, 2013 at 6:48pm.

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 -
**Reiny**, Thursday, January 31, 2013 at 7:16pm
16/x = x/9 , cross-multiply

x^2= 144

x = √144 = 12

check:

16/12 = 4/3

12/9 = 4/3

- Geometry-8th gr -
**Mona**, Thursday, January 31, 2013 at 7:20pm
Thanks. So the geometric mean for 16 and 9 is 4/3?

- Geometry-8th gr -
**Reiny**, Thursday, January 31, 2013 at 7:44pm
NOOO, the geometric mean is 12

I merely showed that 12 is correct

and satisfied your given proportion

a/x = x/b

the 3 numbers are:

16 , 12 , 9 , with 12 as the geometric mean

- Geometry-8th gr -
**Mona**, Friday, February 1, 2013 at 11:48am
Oh okay...thanks.

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