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Finding the Third Proportional to 31,637 and 67,177

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Solution

The third proportional to 31,637 and 67,177 is: 142,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637 : 67,177 = 67,177 : x
  2. Step 2: Convert to fraction form
    31,637/67,177 = 67,177/x
  3. Step 3: Cross multiply
    31,637x = 67,177 × 67,177
  4. Step 4: Simplify right side
    31,637x = 4,512,749,329
  5. Step 5: Solve for x
    x = 4,512,749,329/31,637
  6. Step 6: Final answer
    x = 142,641.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.