SOLUTION: Please help me find the other extreme: ratical 12 is the gepmetric mean between a and b. Find b if a = 3.

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Question 68670: Please help me find the other extreme: ratical 12 is the gepmetric mean between a and b. Find b if a = 3.
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
The Geometric Mean between any two positive numbers a and b is the square root of their product.

If we are looking for positive geometric mean sqrt%28ab%29

If we are looking for negative geometric mean -sqrt+%28ab%29


find the other extreme: ratical 12 is the gepmetric mean between a and b. Find b if a = 3.
Geometric Mean = sqrt%28ab%29
12+=+sqrt%283b%29

12%5E2+=+sqrt%283b%29%5E2

144+=+3b

highlight+%28b=48%29


Checking:
Geometric Mean = sqrt%28ab%29, GM = 12, a = 3, b = 48

12+=+sqrt%283%2A48%29

12+=+sqrt%28144%29

12=12 ---> True