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Finding the Third Proportional to 31,614 and 68,129

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Solution

The third proportional to 31,614 and 68,129 is: 146,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614 : 68,129 = 68,129 : x
  2. Step 2: Convert to fraction form
    31,614/68,129 = 68,129/x
  3. Step 3: Cross multiply
    31,614x = 68,129 × 68,129
  4. Step 4: Simplify right side
    31,614x = 4,641,560,641
  5. Step 5: Solve for x
    x = 4,641,560,641/31,614
  6. Step 6: Final answer
    x = 146,819.78

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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.