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Finding the Third Proportional to 80,489 and 176,836

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Solution

The third proportional to 80,489 and 176,836 is: 388,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,489 : 176,836 = 176,836 : x
  2. Step 2: Convert to fraction form
    80,489/176,836 = 176,836/x
  3. Step 3: Cross multiply
    80,489x = 176,836 × 176,836
  4. Step 4: Simplify right side
    80,489x = 31,270,970,896
  5. Step 5: Solve for x
    x = 31,270,970,896/80,489
  6. Step 6: Final answer
    x = 388,512.35

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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.