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Finding the Third Proportional to 87,671 and 131,507

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Solution

The third proportional to 87,671 and 131,507 is: 197,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,671 : 131,507 = 131,507 : x
  2. Step 2: Convert to fraction form
    87,671/131,507 = 131,507/x
  3. Step 3: Cross multiply
    87,671x = 131,507 × 131,507
  4. Step 4: Simplify right side
    87,671x = 17,294,091,049
  5. Step 5: Solve for x
    x = 17,294,091,049/87,671
  6. Step 6: Final answer
    x = 197,261.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.