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Finding the Third Proportional to 230.48 and 255.80

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Solution

The third proportional to 230.48 and 255.80 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.48 : 255.80 = 255.80 : x
  2. Step 2: Convert to fraction form
    230.48/255.80 = 255.80/x
  3. Step 3: Cross multiply
    230.48x = 255.80 × 255.80
  4. Step 4: Simplify right side
    230.48x = 65,432.04
  5. Step 5: Solve for x
    x = 65,432.04/230.48
  6. Step 6: Final answer
    x = 283.89

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.