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Finding the Third Proportional to 221.78 and 482.44

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Solution

The third proportional to 221.78 and 482.44 is: 1,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 482.44 = 482.44 : x
  2. Step 2: Convert to fraction form
    221.78/482.44 = 482.44/x
  3. Step 3: Cross multiply
    221.78x = 482.44 × 482.44
  4. Step 4: Simplify right side
    221.78x = 232,745.94
  5. Step 5: Solve for x
    x = 232,745.94/221.78
  6. Step 6: Final answer
    x = 1,049.44

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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.