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Finding the Third Proportional to 256.29 and 395.82

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Solution

The third proportional to 256.29 and 395.82 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 395.82 = 395.82 : x
  2. Step 2: Convert to fraction form
    256.29/395.82 = 395.82/x
  3. Step 3: Cross multiply
    256.29x = 395.82 × 395.82
  4. Step 4: Simplify right side
    256.29x = 156,676.81
  5. Step 5: Solve for x
    x = 156,676.81/256.29
  6. Step 6: Final answer
    x = 611.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.