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Finding the Third Proportional to 169.09 and 255.47

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Solution

The third proportional to 169.09 and 255.47 is: 385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 255.47 = 255.47 : x
  2. Step 2: Convert to fraction form
    169.09/255.47 = 255.47/x
  3. Step 3: Cross multiply
    169.09x = 255.47 × 255.47
  4. Step 4: Simplify right side
    169.09x = 65,264.28
  5. Step 5: Solve for x
    x = 65,264.28/169.09
  6. Step 6: Final answer
    x = 385.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.