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Finding the Third Proportional to 31,121 and 47,151

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Solution

The third proportional to 31,121 and 47,151 is: 71,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121 : 47,151 = 47,151 : x
  2. Step 2: Convert to fraction form
    31,121/47,151 = 47,151/x
  3. Step 3: Cross multiply
    31,121x = 47,151 × 47,151
  4. Step 4: Simplify right side
    31,121x = 2,223,216,801
  5. Step 5: Solve for x
    x = 2,223,216,801/31,121
  6. Step 6: Final answer
    x = 71,437.83

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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.