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Finding the Third Proportional to 87,019 and 138,466

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Solution

The third proportional to 87,019 and 138,466 is: 220,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,019 : 138,466 = 138,466 : x
  2. Step 2: Convert to fraction form
    87,019/138,466 = 138,466/x
  3. Step 3: Cross multiply
    87,019x = 138,466 × 138,466
  4. Step 4: Simplify right side
    87,019x = 19,172,833,156
  5. Step 5: Solve for x
    x = 19,172,833,156/87,019
  6. Step 6: Final answer
    x = 220,329.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.