Home / 83,523-129,528

Finding the Third Proportional to 83,523 and 129,528

Calculator

Solution

The third proportional to 83,523 and 129,528 is: 200,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,523 : 129,528 = 129,528 : x
  2. Step 2: Convert to fraction form
    83,523/129,528 = 129,528/x
  3. Step 3: Cross multiply
    83,523x = 129,528 × 129,528
  4. Step 4: Simplify right side
    83,523x = 16,777,502,784
  5. Step 5: Solve for x
    x = 16,777,502,784/83,523
  6. Step 6: Final answer
    x = 200,872.85

Related Problems

Find third proportional to 41,761.50 and 64,764
Half scale
Find third proportional to 167,046 and 259,056
Double scale
Find third proportional to 83,525 and 129,531
Similar ratio
Find third proportional to 125,284.50 and 194,292
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.