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Finding the Third Proportional to 31,538 and 68,676

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Solution

The third proportional to 31,538 and 68,676 is: 149,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538 : 68,676 = 68,676 : x
  2. Step 2: Convert to fraction form
    31,538/68,676 = 68,676/x
  3. Step 3: Cross multiply
    31,538x = 68,676 × 68,676
  4. Step 4: Simplify right side
    31,538x = 4,716,392,976
  5. Step 5: Solve for x
    x = 4,716,392,976/31,538
  6. Step 6: Final answer
    x = 149,546.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.