Answer: square of the geometric mean.

The mathematical relationship among arithmetic, geometric, and harmonic means is as follows: arithmetic mean × harmonic mean = (geometric mean)². This is a fundamental relationship in statistics and mathematics that connects these three types of means. The arithmetic mean is the simple average, the geometric mean is used for multiplicative processes, and the harmonic mean is useful for rates and ratios. The product of the arithmetic mean and harmonic mean always equals the square of the geometric mean for any set of positive numbers.

Author: LeetQuiz Editorial Team