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Finding the Third Proportional to 31,568 and 40,992

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Solution

The third proportional to 31,568 and 40,992 is: 53,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568 : 40,992 = 40,992 : x
  2. Step 2: Convert to fraction form
    31,568/40,992 = 40,992/x
  3. Step 3: Cross multiply
    31,568x = 40,992 × 40,992
  4. Step 4: Simplify right side
    31,568x = 1,680,344,064
  5. Step 5: Solve for x
    x = 1,680,344,064/31,568
  6. Step 6: Final answer
    x = 53,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.