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Finding the Third Proportional to 31,920 and 68,649

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Solution

The third proportional to 31,920 and 68,649 is: 147,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920 : 68,649 = 68,649 : x
  2. Step 2: Convert to fraction form
    31,920/68,649 = 68,649/x
  3. Step 3: Cross multiply
    31,920x = 68,649 × 68,649
  4. Step 4: Simplify right side
    31,920x = 4,712,685,201
  5. Step 5: Solve for x
    x = 4,712,685,201/31,920
  6. Step 6: Final answer
    x = 147,640.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.