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Finding the Third Proportional to 221.56 and 472.24

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Solution

The third proportional to 221.56 and 472.24 is: 1,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.56 : 472.24 = 472.24 : x
  2. Step 2: Convert to fraction form
    221.56/472.24 = 472.24/x
  3. Step 3: Cross multiply
    221.56x = 472.24 × 472.24
  4. Step 4: Simplify right side
    221.56x = 223,007.15
  5. Step 5: Solve for x
    x = 223,007.15/221.56
  6. Step 6: Final answer
    x = 1,006.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.