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Finding the Third Proportional to 87,281 and 133,460

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Solution

The third proportional to 87,281 and 133,460 is: 204,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,281 : 133,460 = 133,460 : x
  2. Step 2: Convert to fraction form
    87,281/133,460 = 133,460/x
  3. Step 3: Cross multiply
    87,281x = 133,460 × 133,460
  4. Step 4: Simplify right side
    87,281x = 17,811,571,600
  5. Step 5: Solve for x
    x = 17,811,571,600/87,281
  6. Step 6: Final answer
    x = 204,071.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.