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Finding the Third Proportional to 83,565.42 and 129,450.66

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Solution

The third proportional to 83,565.42 and 129,450.66 is: 200,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.42 : 129,450.66 = 129,450.66 : x
  2. Step 2: Convert to fraction form
    83,565.42/129,450.66 = 129,450.66/x
  3. Step 3: Cross multiply
    83,565.42x = 129,450.66 × 129,450.66
  4. Step 4: Simplify right side
    83,565.42x = 16,757,472,403.56
  5. Step 5: Solve for x
    x = 16,757,472,403.56/83,565.42
  6. Step 6: Final answer
    x = 200,531.18

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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.