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Finding the Third Proportional to 144.56 and 256.13

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Solution

The third proportional to 144.56 and 256.13 is: 453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 256.13 = 256.13 : x
  2. Step 2: Convert to fraction form
    144.56/256.13 = 256.13/x
  3. Step 3: Cross multiply
    144.56x = 256.13 × 256.13
  4. Step 4: Simplify right side
    144.56x = 65,600.02
  5. Step 5: Solve for x
    x = 65,600.02/144.56
  6. Step 6: Final answer
    x = 453.78

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.