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Finding the Third Proportional to 31,508 and 68,740

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Solution

The third proportional to 31,508 and 68,740 is: 149,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508 : 68,740 = 68,740 : x
  2. Step 2: Convert to fraction form
    31,508/68,740 = 68,740/x
  3. Step 3: Cross multiply
    31,508x = 68,740 × 68,740
  4. Step 4: Simplify right side
    31,508x = 4,725,187,600
  5. Step 5: Solve for x
    x = 4,725,187,600/31,508
  6. Step 6: Final answer
    x = 149,967.87

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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.