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Finding the Third Proportional to 81,996 and 176,910

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Solution

The third proportional to 81,996 and 176,910 is: 381,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996 : 176,910 = 176,910 : x
  2. Step 2: Convert to fraction form
    81,996/176,910 = 176,910/x
  3. Step 3: Cross multiply
    81,996x = 176,910 × 176,910
  4. Step 4: Simplify right side
    81,996x = 31,297,148,100
  5. Step 5: Solve for x
    x = 31,297,148,100/81,996
  6. Step 6: Final answer
    x = 381,691.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.