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Finding the Third Proportional to 80,704 and 172,526

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Solution

The third proportional to 80,704 and 172,526 is: 368,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,704 : 172,526 = 172,526 : x
  2. Step 2: Convert to fraction form
    80,704/172,526 = 172,526/x
  3. Step 3: Cross multiply
    80,704x = 172,526 × 172,526
  4. Step 4: Simplify right side
    80,704x = 29,765,220,676
  5. Step 5: Solve for x
    x = 29,765,220,676/80,704
  6. Step 6: Final answer
    x = 368,819.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.