Insertion of GM between two numbers

Insertion of n HM between two numbers

Find the GM between the numbers

If the AM and GM between two number are in the ratio m : n, then what is the ratio between the two numbers?

If the ratio of A.M and G.M between two numbers is 5:3, then the ratio of two numbers is:

If the AM and GM between two numbers are 34 and 16 respectively. Find the numbers.