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Finding the Third Proportional to 31,901 and 68,677

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Solution

The third proportional to 31,901 and 68,677 is: 147,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901 : 68,677 = 68,677 : x
  2. Step 2: Convert to fraction form
    31,901/68,677 = 68,677/x
  3. Step 3: Cross multiply
    31,901x = 68,677 × 68,677
  4. Step 4: Simplify right side
    31,901x = 4,716,530,329
  5. Step 5: Solve for x
    x = 4,716,530,329/31,901
  6. Step 6: Final answer
    x = 147,848.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.