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Finding the Third Proportional to 31,210 and 47,151

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Solution

The third proportional to 31,210 and 47,151 is: 71,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210 : 47,151 = 47,151 : x
  2. Step 2: Convert to fraction form
    31,210/47,151 = 47,151/x
  3. Step 3: Cross multiply
    31,210x = 47,151 × 47,151
  4. Step 4: Simplify right side
    31,210x = 2,223,216,801
  5. Step 5: Solve for x
    x = 2,223,216,801/31,210
  6. Step 6: Final answer
    x = 71,234.12

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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.