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Finding the Third Proportional to 166.08 and 231.05

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Solution

The third proportional to 166.08 and 231.05 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 231.05 = 231.05 : x
  2. Step 2: Convert to fraction form
    166.08/231.05 = 231.05/x
  3. Step 3: Cross multiply
    166.08x = 231.05 × 231.05
  4. Step 4: Simplify right side
    166.08x = 53,382.66
  5. Step 5: Solve for x
    x = 53,382.66/166.08
  6. Step 6: Final answer
    x = 321.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.