Home / 72,829-97,822

Finding the Third Proportional to 72,829 and 97,822

Calculator

Solution

The third proportional to 72,829 and 97,822 is: 131,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829 : 97,822 = 97,822 : x
  2. Step 2: Convert to fraction form
    72,829/97,822 = 97,822/x
  3. Step 3: Cross multiply
    72,829x = 97,822 × 97,822
  4. Step 4: Simplify right side
    72,829x = 9,569,143,684
  5. Step 5: Solve for x
    x = 9,569,143,684/72,829
  6. Step 6: Final answer
    x = 131,391.94

Related Problems

Find third proportional to 36,414.50 and 48,911
Half scale
Find third proportional to 145,658 and 195,644
Double scale
Find third proportional to 72,831 and 97,825
Similar ratio
Find third proportional to 109,243.50 and 146,733
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.