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Finding the Third Proportional to 83,592 and 129,489

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Solution

The third proportional to 83,592 and 129,489 is: 200,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592 : 129,489 = 129,489 : x
  2. Step 2: Convert to fraction form
    83,592/129,489 = 129,489/x
  3. Step 3: Cross multiply
    83,592x = 129,489 × 129,489
  4. Step 4: Simplify right side
    83,592x = 16,767,401,121
  5. Step 5: Solve for x
    x = 16,767,401,121/83,592
  6. Step 6: Final answer
    x = 200,586.19

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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.