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Finding the Third Proportional to 80,714 and 159,358

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Solution

The third proportional to 80,714 and 159,358 is: 314,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,714 : 159,358 = 159,358 : x
  2. Step 2: Convert to fraction form
    80,714/159,358 = 159,358/x
  3. Step 3: Cross multiply
    80,714x = 159,358 × 159,358
  4. Step 4: Simplify right side
    80,714x = 25,394,972,164
  5. Step 5: Solve for x
    x = 25,394,972,164/80,714
  6. Step 6: Final answer
    x = 314,629.09

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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.