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Finding the Third Proportional to 190.44 and 394.38

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Solution

The third proportional to 190.44 and 394.38 is: 816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.44 : 394.38 = 394.38 : x
  2. Step 2: Convert to fraction form
    190.44/394.38 = 394.38/x
  3. Step 3: Cross multiply
    190.44x = 394.38 × 394.38
  4. Step 4: Simplify right side
    190.44x = 155,531.64
  5. Step 5: Solve for x
    x = 155,531.64/190.44
  6. Step 6: Final answer
    x = 816.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.