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Finding the Third Proportional to 87,520 and 178,251

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Solution

The third proportional to 87,520 and 178,251 is: 363,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,520 : 178,251 = 178,251 : x
  2. Step 2: Convert to fraction form
    87,520/178,251 = 178,251/x
  3. Step 3: Cross multiply
    87,520x = 178,251 × 178,251
  4. Step 4: Simplify right side
    87,520x = 31,773,419,001
  5. Step 5: Solve for x
    x = 31,773,419,001/87,520
  6. Step 6: Final answer
    x = 363,041.81

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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.