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Finding the Third Proportional to 87,398 and 131,528

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Solution

The third proportional to 87,398 and 131,528 is: 197,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,398 : 131,528 = 131,528 : x
  2. Step 2: Convert to fraction form
    87,398/131,528 = 131,528/x
  3. Step 3: Cross multiply
    87,398x = 131,528 × 131,528
  4. Step 4: Simplify right side
    87,398x = 17,299,614,784
  5. Step 5: Solve for x
    x = 17,299,614,784/87,398
  6. Step 6: Final answer
    x = 197,940.63

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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.