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Finding the Third Proportional to 221.20 and 328.29

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Solution

The third proportional to 221.20 and 328.29 is: 487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.20 : 328.29 = 328.29 : x
  2. Step 2: Convert to fraction form
    221.20/328.29 = 328.29/x
  3. Step 3: Cross multiply
    221.20x = 328.29 × 328.29
  4. Step 4: Simplify right side
    221.20x = 107,773.71
  5. Step 5: Solve for x
    x = 107,773.71/221.20
  6. Step 6: Final answer
    x = 487.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.