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Finding the Third Proportional to 83,532 and 129,540

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Solution

The third proportional to 83,532 and 129,540 is: 200,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,532 : 129,540 = 129,540 : x
  2. Step 2: Convert to fraction form
    83,532/129,540 = 129,540/x
  3. Step 3: Cross multiply
    83,532x = 129,540 × 129,540
  4. Step 4: Simplify right side
    83,532x = 16,780,611,600
  5. Step 5: Solve for x
    x = 16,780,611,600/83,532
  6. Step 6: Final answer
    x = 200,888.42

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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.