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Finding the Third Proportional to 80,718 and 159,374

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Solution

The third proportional to 80,718 and 159,374 is: 314,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,718 : 159,374 = 159,374 : x
  2. Step 2: Convert to fraction form
    80,718/159,374 = 159,374/x
  3. Step 3: Cross multiply
    80,718x = 159,374 × 159,374
  4. Step 4: Simplify right side
    80,718x = 25,400,071,876
  5. Step 5: Solve for x
    x = 25,400,071,876/80,718
  6. Step 6: Final answer
    x = 314,676.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.