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Finding the Third Proportional to 67.69 and 163.88

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Solution

The third proportional to 67.69 and 163.88 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 163.88 = 163.88 : x
  2. Step 2: Convert to fraction form
    67.69/163.88 = 163.88/x
  3. Step 3: Cross multiply
    67.69x = 163.88 × 163.88
  4. Step 4: Simplify right side
    67.69x = 26,855.02
  5. Step 5: Solve for x
    x = 26,855.02/67.69
  6. Step 6: Final answer
    x = 396.75

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.