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Finding the Third Proportional to 103,687 and 225,811

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Solution

The third proportional to 103,687 and 225,811 is: 491,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687 : 225,811 = 225,811 : x
  2. Step 2: Convert to fraction form
    103,687/225,811 = 225,811/x
  3. Step 3: Cross multiply
    103,687x = 225,811 × 225,811
  4. Step 4: Simplify right side
    103,687x = 50,990,607,721
  5. Step 5: Solve for x
    x = 50,990,607,721/103,687
  6. Step 6: Final answer
    x = 491,774.36

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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.