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Finding the Third Proportional to 31,591.50 and 68,079

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Solution

The third proportional to 31,591.50 and 68,079 is: 146,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.50 : 68,079 = 68,079 : x
  2. Step 2: Convert to fraction form
    31,591.50/68,079 = 68,079/x
  3. Step 3: Cross multiply
    31,591.50x = 68,079 × 68,079
  4. Step 4: Simplify right side
    31,591.50x = 4,634,750,241
  5. Step 5: Solve for x
    x = 4,634,750,241/31,591.50
  6. Step 6: Final answer
    x = 146,708.77

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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.