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Finding the Third Proportional to 69 and 166.31

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Solution

The third proportional to 69 and 166.31 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 166.31 = 166.31 : x
  2. Step 2: Convert to fraction form
    69/166.31 = 166.31/x
  3. Step 3: Cross multiply
    69x = 166.31 × 166.31
  4. Step 4: Simplify right side
    69x = 27,659.85
  5. Step 5: Solve for x
    x = 27,659.85/69
  6. Step 6: Final answer
    x = 400.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.