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Finding the Third Proportional to 205.50 and 247

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Solution

The third proportional to 205.50 and 247 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 247 = 247 : x
  2. Step 2: Convert to fraction form
    205.50/247 = 247/x
  3. Step 3: Cross multiply
    205.50x = 247 × 247
  4. Step 4: Simplify right side
    205.50x = 61,009
  5. Step 5: Solve for x
    x = 61,009/205.50
  6. Step 6: Final answer
    x = 296.88

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