Home / 37,704-81,964

Finding the Third Proportional to 37,704 and 81,964

Calculator

Solution

The third proportional to 37,704 and 81,964 is: 178,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,704 : 81,964 = 81,964 : x
  2. Step 2: Convert to fraction form
    37,704/81,964 = 81,964/x
  3. Step 3: Cross multiply
    37,704x = 81,964 × 81,964
  4. Step 4: Simplify right side
    37,704x = 6,718,097,296
  5. Step 5: Solve for x
    x = 6,718,097,296/37,704
  6. Step 6: Final answer
    x = 178,179.96

Related Problems

Find third proportional to 18,852 and 40,982
Half scale
Find third proportional to 75,408 and 163,928
Double scale
Find third proportional to 37,706 and 81,968
Similar ratio
Find third proportional to 56,556 and 122,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.