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Finding the Third Proportional to 167.38 and 213.10

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Solution

The third proportional to 167.38 and 213.10 is: 271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 213.10 = 213.10 : x
  2. Step 2: Convert to fraction form
    167.38/213.10 = 213.10/x
  3. Step 3: Cross multiply
    167.38x = 213.10 × 213.10
  4. Step 4: Simplify right side
    167.38x = 45,411.44
  5. Step 5: Solve for x
    x = 45,411.44/167.38
  6. Step 6: Final answer
    x = 271.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.