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Finding the Third Proportional to 20,872 and 31,493

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Solution

The third proportional to 20,872 and 31,493 is: 47,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872 : 31,493 = 31,493 : x
  2. Step 2: Convert to fraction form
    20,872/31,493 = 31,493/x
  3. Step 3: Cross multiply
    20,872x = 31,493 × 31,493
  4. Step 4: Simplify right side
    20,872x = 991,809,049
  5. Step 5: Solve for x
    x = 991,809,049/20,872
  6. Step 6: Final answer
    x = 47,518.64

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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.