Find Harmonic mean using Arithmetic mean and Geometric mean

Given two numbers, first calculate arithmetic mean and geometric mean of these two numbers. Using the arithmetic mean and geometric mean so calculated, find the harmonic mean between the two numbers.

Examples:

Input : a = 2
b = 4
Output : 2.666

Input : a = 5
b = 15
Output : 7.500

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Arithmetic Mean: Arithmetic Mean ‘AM’ between two numbers a and b is such a number that AM-a = b-AM. Thus, if we are given these two numbers, the arithmetic mean AM = 1/2(a+b)
Geometric Mean: Geometric Mean ‘GM’ between two numbers a and b is such a number that GM/a = b/GM. Thus, if we are given these two numbers, the geometric mean GM = sqrt(a*b)

Harmonic Mean: Harmonic Mean ‘HM’ between two numbers a and b is such a number that 1/HM – 1/a = 1/b – 1/HM. Thus, if we are given these two numbers, the harmonic mean HM = 2ab/a+b

Now, we also know that C++

 // C++ implementation of compution of // arithmetic mean, geometric mean // and harmonic mean #include using namespace std;    // Function to calculate arithmetic  // mean, geometric mean and harmonic mean double compute(int a, int b) {        double AM, GM, HM;        AM = (a + b) / 2;     GM = sqrt(a * b);     HM = (GM * GM) / AM;     return HM; }    // Driver function int main() {        int a = 5, b = 15;     double HM = compute(a, b);     cout << "Harmonic Mean between " << a            << " and " << b << " is " << HM ;     return 0; }

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Java

 // Java implementation of compution of // arithmetic mean, geometric mean // and harmonic mean import java.io.*;    class GeeksforGeeks {            // Function to calculate arithmetic      // mean, geometric mean and harmonic mean     static double compute(int a, int b)     {            double AM, GM, HM;            AM = (a + b) / 2;         GM = Math.sqrt(a * b);         HM = (GM * GM) / AM;         return HM;     }            // Driver function     public static void main(String args[])     {         int a = 5, b = 15;         double HM = compute(a, b);         String str = "";         str = str + HM;         System.out.print("Harmonic Mean between "                            + a + " and " + b + " is "                            + str.substring(0, 5));     } }

Python3

 # Python 3 implementation of compution # of arithmetic mean, geometric mean # and harmonic mean    import math     # Function to calculate arithmetic  # mean, geometric mean and harmonic mean def compute( a, b) :     AM = (a + b) / 2     GM = math.sqrt(a * b)     HM = (GM * GM) / AM     return HM    # Driver function a = 5 b = 15 HM = compute(a, b) print("Harmonic Mean between " , a,       " and ", b , " is " , HM )       # This code is contributed by Nikita Tiwari.

C#

 // C# implementation of compution of // arithmetic mean, geometric mean // and harmonic mean using System;    class GeeksforGeeks {            // Function to calculate arithmetic      // mean, geometric mean and harmonic mean     static double compute(int a, int b)     {            double AM, GM, HM;            AM = (a + b) / 2;         GM = Math.Sqrt(a * b);         HM = (GM * GM) / AM;         return HM;     }            // Driver function     public static void Main()     {         int a = 5, b = 15;         double HM = compute(a, b);         Console.WriteLine("Harmonic Mean between "                         + a + " and " + b + " is "                         +HM);     } } // This code is contributed by mits

PHP



Output:

Harmonic Mean between 5 and 15 is 7.500