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Finding the Third Proportional to 83,397 and 129,327

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Solution

The third proportional to 83,397 and 129,327 is: 200,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,397 : 129,327 = 129,327 : x
  2. Step 2: Convert to fraction form
    83,397/129,327 = 129,327/x
  3. Step 3: Cross multiply
    83,397x = 129,327 × 129,327
  4. Step 4: Simplify right side
    83,397x = 16,725,472,929
  5. Step 5: Solve for x
    x = 16,725,472,929/83,397
  6. Step 6: Final answer
    x = 200,552.45

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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.