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Finding the Third Proportional to 87,569 and 138,684

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Solution

The third proportional to 87,569 and 138,684 is: 219,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,569 : 138,684 = 138,684 : x
  2. Step 2: Convert to fraction form
    87,569/138,684 = 138,684/x
  3. Step 3: Cross multiply
    87,569x = 138,684 × 138,684
  4. Step 4: Simplify right side
    87,569x = 19,233,251,856
  5. Step 5: Solve for x
    x = 19,233,251,856/87,569
  6. Step 6: Final answer
    x = 219,635.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.