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Finding the Third Proportional to 300,636 and 449,493

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Solution

The third proportional to 300,636 and 449,493 is: 672,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,636 : 449,493 = 449,493 : x
  2. Step 2: Convert to fraction form
    300,636/449,493 = 449,493/x
  3. Step 3: Cross multiply
    300,636x = 449,493 × 449,493
  4. Step 4: Simplify right side
    300,636x = 202,043,957,049
  5. Step 5: Solve for x
    x = 202,043,957,049/300,636
  6. Step 6: Final answer
    x = 672,055.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.