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Finding the Third Proportional to 87,330 and 178,324

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Solution

The third proportional to 87,330 and 178,324 is: 364,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,330 : 178,324 = 178,324 : x
  2. Step 2: Convert to fraction form
    87,330/178,324 = 178,324/x
  3. Step 3: Cross multiply
    87,330x = 178,324 × 178,324
  4. Step 4: Simplify right side
    87,330x = 31,799,448,976
  5. Step 5: Solve for x
    x = 31,799,448,976/87,330
  6. Step 6: Final answer
    x = 364,129.73

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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.