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Finding the Third Proportional to 204.94 and 287.97

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Solution

The third proportional to 204.94 and 287.97 is: 404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.94 : 287.97 = 287.97 : x
  2. Step 2: Convert to fraction form
    204.94/287.97 = 287.97/x
  3. Step 3: Cross multiply
    204.94x = 287.97 × 287.97
  4. Step 4: Simplify right side
    204.94x = 82,926.00
  5. Step 5: Solve for x
    x = 82,926.00/204.94
  6. Step 6: Final answer
    x = 404.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.