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Finding the Third Proportional to 408,015 and 449,568

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Solution

The third proportional to 408,015 and 449,568 is: 495,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,015 : 449,568 = 449,568 : x
  2. Step 2: Convert to fraction form
    408,015/449,568 = 449,568/x
  3. Step 3: Cross multiply
    408,015x = 449,568 × 449,568
  4. Step 4: Simplify right side
    408,015x = 202,111,386,624
  5. Step 5: Solve for x
    x = 202,111,386,624/408,015
  6. Step 6: Final answer
    x = 495,352.83

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.