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Finding the Third Proportional to 163.29 and 351.57

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Solution

The third proportional to 163.29 and 351.57 is: 756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 351.57 = 351.57 : x
  2. Step 2: Convert to fraction form
    163.29/351.57 = 351.57/x
  3. Step 3: Cross multiply
    163.29x = 351.57 × 351.57
  4. Step 4: Simplify right side
    163.29x = 123,604.43
  5. Step 5: Solve for x
    x = 123,604.43/163.29
  6. Step 6: Final answer
    x = 756.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.