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Finding the Third Proportional to 300,563 and 449,902

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Solution

The third proportional to 300,563 and 449,902 is: 673,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,563 : 449,902 = 449,902 : x
  2. Step 2: Convert to fraction form
    300,563/449,902 = 449,902/x
  3. Step 3: Cross multiply
    300,563x = 449,902 × 449,902
  4. Step 4: Simplify right side
    300,563x = 202,411,809,604
  5. Step 5: Solve for x
    x = 202,411,809,604/300,563
  6. Step 6: Final answer
    x = 673,442.21

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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.