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Finding the Third Proportional to 203,907 and 449,286

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Solution

The third proportional to 203,907 and 449,286 is: 989,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,907 : 449,286 = 449,286 : x
  2. Step 2: Convert to fraction form
    203,907/449,286 = 449,286/x
  3. Step 3: Cross multiply
    203,907x = 449,286 × 449,286
  4. Step 4: Simplify right side
    203,907x = 201,857,909,796
  5. Step 5: Solve for x
    x = 201,857,909,796/203,907
  6. Step 6: Final answer
    x = 989,950.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.