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Finding the Third Proportional to 74.46 and 163.48

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Solution

The third proportional to 74.46 and 163.48 is: 358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.46 : 163.48 = 163.48 : x
  2. Step 2: Convert to fraction form
    74.46/163.48 = 163.48/x
  3. Step 3: Cross multiply
    74.46x = 163.48 × 163.48
  4. Step 4: Simplify right side
    74.46x = 26,724.59
  5. Step 5: Solve for x
    x = 26,724.59/74.46
  6. Step 6: Final answer
    x = 358.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.