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Finding the Third Proportional to 255.38 and 361.97

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Solution

The third proportional to 255.38 and 361.97 is: 513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.38 : 361.97 = 361.97 : x
  2. Step 2: Convert to fraction form
    255.38/361.97 = 361.97/x
  3. Step 3: Cross multiply
    255.38x = 361.97 × 361.97
  4. Step 4: Simplify right side
    255.38x = 131,021.38
  5. Step 5: Solve for x
    x = 131,021.38/255.38
  6. Step 6: Final answer
    x = 513.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.