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Finding the Third Proportional to 78,682 and 169,874

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Solution

The third proportional to 78,682 and 169,874 is: 366,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682 : 169,874 = 169,874 : x
  2. Step 2: Convert to fraction form
    78,682/169,874 = 169,874/x
  3. Step 3: Cross multiply
    78,682x = 169,874 × 169,874
  4. Step 4: Simplify right side
    78,682x = 28,857,175,876
  5. Step 5: Solve for x
    x = 28,857,175,876/78,682
  6. Step 6: Final answer
    x = 366,757.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.