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Finding the Third Proportional to 221.81 and 481.41

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Solution

The third proportional to 221.81 and 481.41 is: 1,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 481.41 = 481.41 : x
  2. Step 2: Convert to fraction form
    221.81/481.41 = 481.41/x
  3. Step 3: Cross multiply
    221.81x = 481.41 × 481.41
  4. Step 4: Simplify right side
    221.81x = 231,751.98
  5. Step 5: Solve for x
    x = 231,751.98/221.81
  6. Step 6: Final answer
    x = 1,044.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.