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Finding the Third Proportional to 83,586 and 129,480

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Solution

The third proportional to 83,586 and 129,480 is: 200,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,586 : 129,480 = 129,480 : x
  2. Step 2: Convert to fraction form
    83,586/129,480 = 129,480/x
  3. Step 3: Cross multiply
    83,586x = 129,480 × 129,480
  4. Step 4: Simplify right side
    83,586x = 16,765,070,400
  5. Step 5: Solve for x
    x = 16,765,070,400/83,586
  6. Step 6: Final answer
    x = 200,572.71

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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.