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Finding the Third Proportional to 204.84 and 287.81

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Solution

The third proportional to 204.84 and 287.81 is: 404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 287.81 = 287.81 : x
  2. Step 2: Convert to fraction form
    204.84/287.81 = 287.81/x
  3. Step 3: Cross multiply
    204.84x = 287.81 × 287.81
  4. Step 4: Simplify right side
    204.84x = 82,836.04
  5. Step 5: Solve for x
    x = 82,836.04/204.84
  6. Step 6: Final answer
    x = 404.39

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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.