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Finding the Third Proportional to 80,460 and 176,769

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Solution

The third proportional to 80,460 and 176,769 is: 388,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,460 : 176,769 = 176,769 : x
  2. Step 2: Convert to fraction form
    80,460/176,769 = 176,769/x
  3. Step 3: Cross multiply
    80,460x = 176,769 × 176,769
  4. Step 4: Simplify right side
    80,460x = 31,247,279,361
  5. Step 5: Solve for x
    x = 31,247,279,361/80,460
  6. Step 6: Final answer
    x = 388,357.93

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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.