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Finding the Third Proportional to 31,872 and 47,592

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Solution

The third proportional to 31,872 and 47,592 is: 71,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872 : 47,592 = 47,592 : x
  2. Step 2: Convert to fraction form
    31,872/47,592 = 47,592/x
  3. Step 3: Cross multiply
    31,872x = 47,592 × 47,592
  4. Step 4: Simplify right side
    31,872x = 2,264,998,464
  5. Step 5: Solve for x
    x = 2,264,998,464/31,872
  6. Step 6: Final answer
    x = 71,065.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.