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Finding the Third Proportional to 168.86 and 252.21

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Solution

The third proportional to 168.86 and 252.21 is: 376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.86 : 252.21 = 252.21 : x
  2. Step 2: Convert to fraction form
    168.86/252.21 = 252.21/x
  3. Step 3: Cross multiply
    168.86x = 252.21 × 252.21
  4. Step 4: Simplify right side
    168.86x = 63,610.36
  5. Step 5: Solve for x
    x = 63,610.36/168.86
  6. Step 6: Final answer
    x = 376.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.