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Finding the Third Proportional to 81,630 and 178,767

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Solution

The third proportional to 81,630 and 178,767 is: 391,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,630 : 178,767 = 178,767 : x
  2. Step 2: Convert to fraction form
    81,630/178,767 = 178,767/x
  3. Step 3: Cross multiply
    81,630x = 178,767 × 178,767
  4. Step 4: Simplify right side
    81,630x = 31,957,640,289
  5. Step 5: Solve for x
    x = 31,957,640,289/81,630
  6. Step 6: Final answer
    x = 391,493.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.