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Finding the Third Proportional to 80,691 and 177,306

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Solution

The third proportional to 80,691 and 177,306 is: 389,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,691 : 177,306 = 177,306 : x
  2. Step 2: Convert to fraction form
    80,691/177,306 = 177,306/x
  3. Step 3: Cross multiply
    80,691x = 177,306 × 177,306
  4. Step 4: Simplify right side
    80,691x = 31,437,417,636
  5. Step 5: Solve for x
    x = 31,437,417,636/80,691
  6. Step 6: Final answer
    x = 389,602.53

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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.