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Finding the Third Proportional to 31,286.25 and 65,161.13

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Solution

The third proportional to 31,286.25 and 65,161.13 is: 135,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.25 : 65,161.13 = 65,161.13 : x
  2. Step 2: Convert to fraction form
    31,286.25/65,161.13 = 65,161.13/x
  3. Step 3: Cross multiply
    31,286.25x = 65,161.13 × 65,161.13
  4. Step 4: Simplify right side
    31,286.25x = 4,245,972,211.27
  5. Step 5: Solve for x
    x = 4,245,972,211.27/31,286.25
  6. Step 6: Final answer
    x = 135,713.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.