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Finding the Third Proportional to 225.42 and 255.80

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Solution

The third proportional to 225.42 and 255.80 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 255.80 = 255.80 : x
  2. Step 2: Convert to fraction form
    225.42/255.80 = 255.80/x
  3. Step 3: Cross multiply
    225.42x = 255.80 × 255.80
  4. Step 4: Simplify right side
    225.42x = 65,432.04
  5. Step 5: Solve for x
    x = 65,432.04/225.42
  6. Step 6: Final answer
    x = 290.26

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.