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Finding the Third Proportional to 80,436 and 176,667

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Solution

The third proportional to 80,436 and 176,667 is: 388,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,436 : 176,667 = 176,667 : x
  2. Step 2: Convert to fraction form
    80,436/176,667 = 176,667/x
  3. Step 3: Cross multiply
    80,436x = 176,667 × 176,667
  4. Step 4: Simplify right side
    80,436x = 31,211,228,889
  5. Step 5: Solve for x
    x = 31,211,228,889/80,436
  6. Step 6: Final answer
    x = 388,025.62

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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.