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Finding the Third Proportional to 101,278.78 and 220,781.44

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Solution

The third proportional to 101,278.78 and 220,781.44 is: 481,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,278.78 : 220,781.44 = 220,781.44 : x
  2. Step 2: Convert to fraction form
    101,278.78/220,781.44 = 220,781.44/x
  3. Step 3: Cross multiply
    101,278.78x = 220,781.44 × 220,781.44
  4. Step 4: Simplify right side
    101,278.78x = 48,744,443,144.57
  5. Step 5: Solve for x
    x = 48,744,443,144.57/101,278.78
  6. Step 6: Final answer
    x = 481,289.79

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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.