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Finding the Third Proportional to 163.69 and 255.66

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Solution

The third proportional to 163.69 and 255.66 is: 399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 255.66 = 255.66 : x
  2. Step 2: Convert to fraction form
    163.69/255.66 = 255.66/x
  3. Step 3: Cross multiply
    163.69x = 255.66 × 255.66
  4. Step 4: Simplify right side
    163.69x = 65,360.12
  5. Step 5: Solve for x
    x = 65,360.12/163.69
  6. Step 6: Final answer
    x = 399.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.