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Finding the Third Proportional to 76.31 and 167.17

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Solution

The third proportional to 76.31 and 167.17 is: 366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.31 : 167.17 = 167.17 : x
  2. Step 2: Convert to fraction form
    76.31/167.17 = 167.17/x
  3. Step 3: Cross multiply
    76.31x = 167.17 × 167.17
  4. Step 4: Simplify right side
    76.31x = 27,945.13
  5. Step 5: Solve for x
    x = 27,945.13/76.31
  6. Step 6: Final answer
    x = 366.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.