If the geometric mean of a and 176 is 44, find the value of a.???? explain

Question

amistre64 · Answer

geo means are when you multiply it all together and take the nth root

amistre64 · Answer

sqrt(176a) = 44 ; solve for a

amistre64 · Answer

do you see how we could start to solve for "a" ?

anonymous · Answer

We have 2 values. (176 + a)/2 = 44 So we need to do the algebra on it and solve for a. I am just getting off a train. Will check back in a while and see if you still need help. Best of luck! http://www.tutorsean.net

anonymous · Answer

Another way to look at geo mean is to use the ratio equation$$\frac{x}{a}=\frac{a}{y}$$
where a is the geo mena of x and y.

amistre64 · Answer

sorry sean; thats arithmetic mean; solve for the geometric mean

amistre64 · Answer

ive never tried the ratio b4 :)

anonymous · Answer

so in this case we have$$\frac{a}{44}=\frac{44}{176}$$

anonymous · Answer

oh thank u all very helpful

amistre64 · Answer

how would the ratio work for say, 3 terms?

anonymous · Answer

As far as i can tell, it doesn't.  But i remember learning geo mean from "Donald in Mathemagic-land" years ago.  It applies to the Golden Ratio and they were talking about how it relates to the dimensions of the rectangle.