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Finding the Third Proportional to 68,691 and 108,976

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Solution

The third proportional to 68,691 and 108,976 is: 172,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,691 : 108,976 = 108,976 : x
  2. Step 2: Convert to fraction form
    68,691/108,976 = 108,976/x
  3. Step 3: Cross multiply
    68,691x = 108,976 × 108,976
  4. Step 4: Simplify right side
    68,691x = 11,875,768,576
  5. Step 5: Solve for x
    x = 11,875,768,576/68,691
  6. Step 6: Final answer
    x = 172,886.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.