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Finding the Third Proportional to 74.88 and 163.38

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Solution

The third proportional to 74.88 and 163.38 is: 356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 163.38 = 163.38 : x
  2. Step 2: Convert to fraction form
    74.88/163.38 = 163.38/x
  3. Step 3: Cross multiply
    74.88x = 163.38 × 163.38
  4. Step 4: Simplify right side
    74.88x = 26,691.39
  5. Step 5: Solve for x
    x = 26,691.39/74.88
  6. Step 6: Final answer
    x = 356.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.