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Finding the Third Proportional to 31,278.66 and 67,591.97

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Solution

The third proportional to 31,278.66 and 67,591.97 is: 146,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.66 : 67,591.97 = 67,591.97 : x
  2. Step 2: Convert to fraction form
    31,278.66/67,591.97 = 67,591.97/x
  3. Step 3: Cross multiply
    31,278.66x = 67,591.97 × 67,591.97
  4. Step 4: Simplify right side
    31,278.66x = 4,568,674,239.50
  5. Step 5: Solve for x
    x = 4,568,674,239.50/31,278.66
  6. Step 6: Final answer
    x = 146,063.64

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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.