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Finding the Third Proportional to 87,011 and 132,339

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Solution

The third proportional to 87,011 and 132,339 is: 201,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,011 : 132,339 = 132,339 : x
  2. Step 2: Convert to fraction form
    87,011/132,339 = 132,339/x
  3. Step 3: Cross multiply
    87,011x = 132,339 × 132,339
  4. Step 4: Simplify right side
    87,011x = 17,513,610,921
  5. Step 5: Solve for x
    x = 17,513,610,921/87,011
  6. Step 6: Final answer
    x = 201,280.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.