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Finding the Third Proportional to 256.41 and 394.22

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Solution

The third proportional to 256.41 and 394.22 is: 606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 394.22 = 394.22 : x
  2. Step 2: Convert to fraction form
    256.41/394.22 = 394.22/x
  3. Step 3: Cross multiply
    256.41x = 394.22 × 394.22
  4. Step 4: Simplify right side
    256.41x = 155,408.42
  5. Step 5: Solve for x
    x = 155,408.42/256.41
  6. Step 6: Final answer
    x = 606.10

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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.