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Finding the Third Proportional to 80,718 and 177,356

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Solution

The third proportional to 80,718 and 177,356 is: 389,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,718 : 177,356 = 177,356 : x
  2. Step 2: Convert to fraction form
    80,718/177,356 = 177,356/x
  3. Step 3: Cross multiply
    80,718x = 177,356 × 177,356
  4. Step 4: Simplify right side
    80,718x = 31,455,150,736
  5. Step 5: Solve for x
    x = 31,455,150,736/80,718
  6. Step 6: Final answer
    x = 389,691.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.