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Finding the Third Proportional to 31,115 and 47,249

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Solution

The third proportional to 31,115 and 47,249 is: 71,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115 : 47,249 = 47,249 : x
  2. Step 2: Convert to fraction form
    31,115/47,249 = 47,249/x
  3. Step 3: Cross multiply
    31,115x = 47,249 × 47,249
  4. Step 4: Simplify right side
    31,115x = 2,232,468,001
  5. Step 5: Solve for x
    x = 2,232,468,001/31,115
  6. Step 6: Final answer
    x = 71,748.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.