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Finding the Third Proportional to 87,539 and 178,285

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Solution

The third proportional to 87,539 and 178,285 is: 363,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,539 : 178,285 = 178,285 : x
  2. Step 2: Convert to fraction form
    87,539/178,285 = 178,285/x
  3. Step 3: Cross multiply
    87,539x = 178,285 × 178,285
  4. Step 4: Simplify right side
    87,539x = 31,785,541,225
  5. Step 5: Solve for x
    x = 31,785,541,225/87,539
  6. Step 6: Final answer
    x = 363,101.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.