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Finding the Third Proportional to 75.25 and 163.81

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Solution

The third proportional to 75.25 and 163.81 is: 356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.25 : 163.81 = 163.81 : x
  2. Step 2: Convert to fraction form
    75.25/163.81 = 163.81/x
  3. Step 3: Cross multiply
    75.25x = 163.81 × 163.81
  4. Step 4: Simplify right side
    75.25x = 26,834.54
  5. Step 5: Solve for x
    x = 26,834.54/75.25
  6. Step 6: Final answer
    x = 356.61

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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.