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Finding the Third Proportional to 166.31 and 279.66

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Solution

The third proportional to 166.31 and 279.66 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.31 : 279.66 = 279.66 : x
  2. Step 2: Convert to fraction form
    166.31/279.66 = 279.66/x
  3. Step 3: Cross multiply
    166.31x = 279.66 × 279.66
  4. Step 4: Simplify right side
    166.31x = 78,207.62
  5. Step 5: Solve for x
    x = 78,207.62/166.31
  6. Step 6: Final answer
    x = 470.24

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.