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Finding the Third Proportional to 225,909 and 486,809

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Solution

The third proportional to 225,909 and 486,809 is: 1,049,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,909 : 486,809 = 486,809 : x
  2. Step 2: Convert to fraction form
    225,909/486,809 = 486,809/x
  3. Step 3: Cross multiply
    225,909x = 486,809 × 486,809
  4. Step 4: Simplify right side
    225,909x = 236,983,002,481
  5. Step 5: Solve for x
    x = 236,983,002,481/225,909
  6. Step 6: Final answer
    x = 1,049,019.75

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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.