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Finding the Third Proportional to 206 and 248

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Solution

The third proportional to 206 and 248 is: 298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 248 = 248 : x
  2. Step 2: Convert to fraction form
    206/248 = 248/x
  3. Step 3: Cross multiply
    206x = 248 × 248
  4. Step 4: Simplify right side
    206x = 61,504
  5. Step 5: Solve for x
    x = 61,504/206
  6. Step 6: Final answer
    x = 298.56

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