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Finding the Third Proportional to 300,625 and 479,366

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Solution

The third proportional to 300,625 and 479,366 is: 764,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,625 : 479,366 = 479,366 : x
  2. Step 2: Convert to fraction form
    300,625/479,366 = 479,366/x
  3. Step 3: Cross multiply
    300,625x = 479,366 × 479,366
  4. Step 4: Simplify right side
    300,625x = 229,791,761,956
  5. Step 5: Solve for x
    x = 229,791,761,956/300,625
  6. Step 6: Final answer
    x = 764,380.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.