1. ## Percent help

There is 2 positive numbers
1 number is p% of the other

How many percent is those numbers geometric mean from arithmetic mean?

Answer is (20√(10) / p+100) %

How to get there? Been struggling with this so long. Its high school year 12 math.
Sorry for my bad english. (also for bad title, i dont know English definition for that)

2. ## Re: Percent help

Originally Posted by Trolo
There is 2 positive numbers
1 number is p% of the other

How many percent is those numbers geometric mean from arithmetic mean?

Answer is (20√(10) / p+100) %

How to get there? Been struggling with this so long. Its high school year 12 math.
Sorry for my bad english. (also for bad title, i dont know English definition for that)
you have two numbers $x$ and $y=\dfrac{px}{100}$

The arithmetic mean is $\dfrac{x+y}{2}=\dfrac{100x+px}{2\cdot 100}=\dfrac{(100+p)x}{200}$

The geometric mean is

$\sqrt{xy}=\sqrt{\dfrac{px^2}{100}}=\dfrac{x\sqrt{ p}}{10}$

I don't really know how to interpret your actual question, but given these two means you can figure out the ratio you are after.

3. ## Re: Percent help

Yea got the ratio! Thanks