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Finding the Third Proportional to 87,392 and 131,529

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Solution

The third proportional to 87,392 and 131,529 is: 197,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,392 : 131,529 = 131,529 : x
  2. Step 2: Convert to fraction form
    87,392/131,529 = 131,529/x
  3. Step 3: Cross multiply
    87,392x = 131,529 × 131,529
  4. Step 4: Simplify right side
    87,392x = 17,299,877,841
  5. Step 5: Solve for x
    x = 17,299,877,841/87,392
  6. Step 6: Final answer
    x = 197,957.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.