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Finding the Third Proportional to 83,549 and 129,281

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Solution

The third proportional to 83,549 and 129,281 is: 200,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,549 : 129,281 = 129,281 : x
  2. Step 2: Convert to fraction form
    83,549/129,281 = 129,281/x
  3. Step 3: Cross multiply
    83,549x = 129,281 × 129,281
  4. Step 4: Simplify right side
    83,549x = 16,713,576,961
  5. Step 5: Solve for x
    x = 16,713,576,961/83,549
  6. Step 6: Final answer
    x = 200,045.21

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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.