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Finding the Third Proportional to 256.76 and 396.30

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Solution

The third proportional to 256.76 and 396.30 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.76 : 396.30 = 396.30 : x
  2. Step 2: Convert to fraction form
    256.76/396.30 = 396.30/x
  3. Step 3: Cross multiply
    256.76x = 396.30 × 396.30
  4. Step 4: Simplify right side
    256.76x = 157,052.76
  5. Step 5: Solve for x
    x = 157,052.76/256.76
  6. Step 6: Final answer
    x = 611.66

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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.