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Finding the Third Proportional to 163.27 and 355.64

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Solution

The third proportional to 163.27 and 355.64 is: 774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 355.64 = 355.64 : x
  2. Step 2: Convert to fraction form
    163.27/355.64 = 355.64/x
  3. Step 3: Cross multiply
    163.27x = 355.64 × 355.64
  4. Step 4: Simplify right side
    163.27x = 126,480.25
  5. Step 5: Solve for x
    x = 126,480.25/163.27
  6. Step 6: Final answer
    x = 774.69

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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.