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Finding the Third Proportional to 220.94 and 481.56

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Solution

The third proportional to 220.94 and 481.56 is: 1,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.94 : 481.56 = 481.56 : x
  2. Step 2: Convert to fraction form
    220.94/481.56 = 481.56/x
  3. Step 3: Cross multiply
    220.94x = 481.56 × 481.56
  4. Step 4: Simplify right side
    220.94x = 231,902.44
  5. Step 5: Solve for x
    x = 231,902.44/220.94
  6. Step 6: Final answer
    x = 1,049.63

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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.