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Finding the Third Proportional to 340.50 and 396.38

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Solution

The third proportional to 340.50 and 396.38 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 396.38 = 396.38 : x
  2. Step 2: Convert to fraction form
    340.50/396.38 = 396.38/x
  3. Step 3: Cross multiply
    340.50x = 396.38 × 396.38
  4. Step 4: Simplify right side
    340.50x = 157,113.14
  5. Step 5: Solve for x
    x = 157,113.14/340.50
  6. Step 6: Final answer
    x = 461.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.