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Finding the Third Proportional to 31,680 and 68,836

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Solution

The third proportional to 31,680 and 68,836 is: 149,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680 : 68,836 = 68,836 : x
  2. Step 2: Convert to fraction form
    31,680/68,836 = 68,836/x
  3. Step 3: Cross multiply
    31,680x = 68,836 × 68,836
  4. Step 4: Simplify right side
    31,680x = 4,738,394,896
  5. Step 5: Solve for x
    x = 4,738,394,896/31,680
  6. Step 6: Final answer
    x = 149,570.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.