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Finding the Third Proportional to 168.22 and 270.11

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Solution

The third proportional to 168.22 and 270.11 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.22 : 270.11 = 270.11 : x
  2. Step 2: Convert to fraction form
    168.22/270.11 = 270.11/x
  3. Step 3: Cross multiply
    168.22x = 270.11 × 270.11
  4. Step 4: Simplify right side
    168.22x = 72,956.96
  5. Step 5: Solve for x
    x = 72,956.96/168.22
  6. Step 6: Final answer
    x = 433.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.