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Finding the Third Proportional to 80,326 and 176,416

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Solution

The third proportional to 80,326 and 176,416 is: 387,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,326 : 176,416 = 176,416 : x
  2. Step 2: Convert to fraction form
    80,326/176,416 = 176,416/x
  3. Step 3: Cross multiply
    80,326x = 176,416 × 176,416
  4. Step 4: Simplify right side
    80,326x = 31,122,605,056
  5. Step 5: Solve for x
    x = 31,122,605,056/80,326
  6. Step 6: Final answer
    x = 387,453.69

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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.