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Finding the Third Proportional to 81,969 and 176,856

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Solution

The third proportional to 81,969 and 176,856 is: 381,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,969 : 176,856 = 176,856 : x
  2. Step 2: Convert to fraction form
    81,969/176,856 = 176,856/x
  3. Step 3: Cross multiply
    81,969x = 176,856 × 176,856
  4. Step 4: Simplify right side
    81,969x = 31,278,044,736
  5. Step 5: Solve for x
    x = 31,278,044,736/81,969
  6. Step 6: Final answer
    x = 381,583.83

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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.