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Finding the Third Proportional to 334.13 and 378.42

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Solution

The third proportional to 334.13 and 378.42 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 378.42 = 378.42 : x
  2. Step 2: Convert to fraction form
    334.13/378.42 = 378.42/x
  3. Step 3: Cross multiply
    334.13x = 378.42 × 378.42
  4. Step 4: Simplify right side
    334.13x = 143,203.12
  5. Step 5: Solve for x
    x = 143,203.12/334.13
  6. Step 6: Final answer
    x = 428.59

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.