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Finding the Third Proportional to 80,674 and 177,273

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Solution

The third proportional to 80,674 and 177,273 is: 389,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,674 : 177,273 = 177,273 : x
  2. Step 2: Convert to fraction form
    80,674/177,273 = 177,273/x
  3. Step 3: Cross multiply
    80,674x = 177,273 × 177,273
  4. Step 4: Simplify right side
    80,674x = 31,425,716,529
  5. Step 5: Solve for x
    x = 31,425,716,529/80,674
  6. Step 6: Final answer
    x = 389,539.59

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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.