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Finding the Third Proportional to 363 and 398

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Solution

The third proportional to 363 and 398 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363 : 398 = 398 : x
  2. Step 2: Convert to fraction form
    363/398 = 398/x
  3. Step 3: Cross multiply
    363x = 398 × 398
  4. Step 4: Simplify right side
    363x = 158,404
  5. Step 5: Solve for x
    x = 158,404/363
  6. Step 6: Final answer
    x = 436.37

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