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Finding the Third Proportional to 103,809 and 225,843

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Solution

The third proportional to 103,809 and 225,843 is: 491,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,809 : 225,843 = 225,843 : x
  2. Step 2: Convert to fraction form
    103,809/225,843 = 225,843/x
  3. Step 3: Cross multiply
    103,809x = 225,843 × 225,843
  4. Step 4: Simplify right side
    103,809x = 51,005,060,649
  5. Step 5: Solve for x
    x = 51,005,060,649/103,809
  6. Step 6: Final answer
    x = 491,335.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.