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Finding the Third Proportional to 31,442 and 47,569

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Solution

The third proportional to 31,442 and 47,569 is: 71,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442 : 47,569 = 47,569 : x
  2. Step 2: Convert to fraction form
    31,442/47,569 = 47,569/x
  3. Step 3: Cross multiply
    31,442x = 47,569 × 47,569
  4. Step 4: Simplify right side
    31,442x = 2,262,809,761
  5. Step 5: Solve for x
    x = 2,262,809,761/31,442
  6. Step 6: Final answer
    x = 71,967.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.