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Finding the Third Proportional to 221.44 and 300.84

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Solution

The third proportional to 221.44 and 300.84 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 300.84 = 300.84 : x
  2. Step 2: Convert to fraction form
    221.44/300.84 = 300.84/x
  3. Step 3: Cross multiply
    221.44x = 300.84 × 300.84
  4. Step 4: Simplify right side
    221.44x = 90,506.96
  5. Step 5: Solve for x
    x = 90,506.96/221.44
  6. Step 6: Final answer
    x = 408.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.