The geometric mean of two numbers is the square root of their product. So take 12 and 3, their product is 36 and the geometric mean is 6. If you have 3 numbers, take the cube root of the product. For n numbers take the nth root. The geometric mean is used when dealing with percentages and rates of change. Say the growth rate of companies where the rate is given as a percent. I am going to illustrate this with an example. A company growing annually by 2.5%, 3%, and 3.5%, profit in year 1 = 1.025 times profit in year 0 Profit in year 2 = 1.03 times profit in year 1 = 1.03 * 1.025 times profit in year 0 Profit in year 3 = 1.035 times profit in year 2 = 1.035 * 1.03 * 1.025 times profit in year 0 Thus the ratio of the profit in the third year to the profit in the base year is 1.025 * 1.03 * 1.035 If the growth rate had been the same each year, the ratio would be N * N * N For the growth over 3 years to be the same in both cases, we must have 1.025 * 1.03 * 1.035 = N * N * N The solution is N = (1.025 * 1.03 * 1.035)^(1/3) = 1.029992 That is, the cube root of the product of the annual growth factors. This is the geometric mean. (Example courtesy of Doctor Rick, The Math Forum)
If, by geometric number (?) you mean geometric mean, then the answer is 40.
The geometric mean of any single number is itself!
gemo
The geometric mean of 12 and 16 is 13.8564064606
The geometric mean of 2 and 22 is 6.63324958071
Find the use in the following link: "Calculation of the geometric mean of two numbers".
1.The Geometric mean is less then the arithmetic mean. GEOMETRIC MEAN < ARITHMETIC MEAN 2.
If, by geometric number (?) you mean geometric mean, then the answer is 40.
advantages of geometric mean
The geometric mean of 8 is: 8.0
The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".
For two numbers, the geometric mean is the sort of their product. Note I use * to mean multiply So here GM= sqrt (128*8) = sqrt (1024) =32
Geometric mean of 10 and 30 is 17.320508075688774. Look at link: "Calculation of the geometric mean of two numbers".
The geometric mean is 9.798 as the square root of 8 times 12. Scroll down to related links and look for more on "geometric mean".
The geometric mean of 162 and 8 is the square root of their product, which is √(162*8) = √1296 = 36. So, the geometric mean is 36.
http://www.math.utoronto.ca/mathnet/questionCorner/geomean.html
No, the geometric mean is not the same as the mean of two numbers.