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Finding the Third Proportional to 31,471 and 68,467

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Solution

The third proportional to 31,471 and 68,467 is: 148,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471 : 68,467 = 68,467 : x
  2. Step 2: Convert to fraction form
    31,471/68,467 = 68,467/x
  3. Step 3: Cross multiply
    31,471x = 68,467 × 68,467
  4. Step 4: Simplify right side
    31,471x = 4,687,730,089
  5. Step 5: Solve for x
    x = 4,687,730,089/31,471
  6. Step 6: Final answer
    x = 148,953.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.