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Finding the Third Proportional to 72.44 and 167.97

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Solution

The third proportional to 72.44 and 167.97 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.44 : 167.97 = 167.97 : x
  2. Step 2: Convert to fraction form
    72.44/167.97 = 167.97/x
  3. Step 3: Cross multiply
    72.44x = 167.97 × 167.97
  4. Step 4: Simplify right side
    72.44x = 28,213.50
  5. Step 5: Solve for x
    x = 28,213.50/72.44
  6. Step 6: Final answer
    x = 389.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.