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Finding the Third Proportional to 103,649 and 219,753

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Solution

The third proportional to 103,649 and 219,753 is: 465,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,649 : 219,753 = 219,753 : x
  2. Step 2: Convert to fraction form
    103,649/219,753 = 219,753/x
  3. Step 3: Cross multiply
    103,649x = 219,753 × 219,753
  4. Step 4: Simplify right side
    103,649x = 48,291,381,009
  5. Step 5: Solve for x
    x = 48,291,381,009/103,649
  6. Step 6: Final answer
    x = 465,912.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.