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Finding the Third Proportional to 227,903 and 490,849

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Solution

The third proportional to 227,903 and 490,849 is: 1,057,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,903 : 490,849 = 490,849 : x
  2. Step 2: Convert to fraction form
    227,903/490,849 = 490,849/x
  3. Step 3: Cross multiply
    227,903x = 490,849 × 490,849
  4. Step 4: Simplify right side
    227,903x = 240,932,740,801
  5. Step 5: Solve for x
    x = 240,932,740,801/227,903
  6. Step 6: Final answer
    x = 1,057,172.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.