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Finding the Third Proportional to 255.10 and 552.92

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Solution

The third proportional to 255.10 and 552.92 is: 1,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 552.92 = 552.92 : x
  2. Step 2: Convert to fraction form
    255.10/552.92 = 552.92/x
  3. Step 3: Cross multiply
    255.10x = 552.92 × 552.92
  4. Step 4: Simplify right side
    255.10x = 305,720.44
  5. Step 5: Solve for x
    x = 305,720.44/255.10
  6. Step 6: Final answer
    x = 1,198.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.