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Finding the Third Proportional to 133.09 and 286.44

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Solution

The third proportional to 133.09 and 286.44 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 286.44 = 286.44 : x
  2. Step 2: Convert to fraction form
    133.09/286.44 = 286.44/x
  3. Step 3: Cross multiply
    133.09x = 286.44 × 286.44
  4. Step 4: Simplify right side
    133.09x = 82,046.44
  5. Step 5: Solve for x
    x = 82,046.44/133.09
  6. Step 6: Final answer
    x = 616.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.