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Finding the Third Proportional to 255.07 and 363.61

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Solution

The third proportional to 255.07 and 363.61 is: 518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.07 : 363.61 = 363.61 : x
  2. Step 2: Convert to fraction form
    255.07/363.61 = 363.61/x
  3. Step 3: Cross multiply
    255.07x = 363.61 × 363.61
  4. Step 4: Simplify right side
    255.07x = 132,211.78
  5. Step 5: Solve for x
    x = 132,211.78/255.07
  6. Step 6: Final answer
    x = 518.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.