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Finding the Third Proportional to 81,882 and 178,179.75

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Solution

The third proportional to 81,882 and 178,179.75 is: 387,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882 : 178,179.75 = 178,179.75 : x
  2. Step 2: Convert to fraction form
    81,882/178,179.75 = 178,179.75/x
  3. Step 3: Cross multiply
    81,882x = 178,179.75 × 178,179.75
  4. Step 4: Simplify right side
    81,882x = 31,748,023,310.06
  5. Step 5: Solve for x
    x = 31,748,023,310.06/81,882
  6. Step 6: Final answer
    x = 387,728.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.