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Finding the Third Proportional to 80,469 and 176,690

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Solution

The third proportional to 80,469 and 176,690 is: 387,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,469 : 176,690 = 176,690 : x
  2. Step 2: Convert to fraction form
    80,469/176,690 = 176,690/x
  3. Step 3: Cross multiply
    80,469x = 176,690 × 176,690
  4. Step 4: Simplify right side
    80,469x = 31,219,356,100
  5. Step 5: Solve for x
    x = 31,219,356,100/80,469
  6. Step 6: Final answer
    x = 387,967.49

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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.