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Finding the Third Proportional to 81.70 and 167.20

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Solution

The third proportional to 81.70 and 167.20 is: 342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.70 : 167.20 = 167.20 : x
  2. Step 2: Convert to fraction form
    81.70/167.20 = 167.20/x
  3. Step 3: Cross multiply
    81.70x = 167.20 × 167.20
  4. Step 4: Simplify right side
    81.70x = 27,956.89
  5. Step 5: Solve for x
    x = 27,956.89/81.70
  6. Step 6: Final answer
    x = 342.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.