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Finding the Third Proportional to 83,502 and 129,444

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Solution

The third proportional to 83,502 and 129,444 is: 200,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502 : 129,444 = 129,444 : x
  2. Step 2: Convert to fraction form
    83,502/129,444 = 129,444/x
  3. Step 3: Cross multiply
    83,502x = 129,444 × 129,444
  4. Step 4: Simplify right side
    83,502x = 16,755,749,136
  5. Step 5: Solve for x
    x = 16,755,749,136/83,502
  6. Step 6: Final answer
    x = 200,662.85

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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.