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Finding the Third Proportional to 1,286.81 and 2,794.13

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Solution

The third proportional to 1,286.81 and 2,794.13 is: 6,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.81 : 2,794.13 = 2,794.13 : x
  2. Step 2: Convert to fraction form
    1,286.81/2,794.13 = 2,794.13/x
  3. Step 3: Cross multiply
    1,286.81x = 2,794.13 × 2,794.13
  4. Step 4: Simplify right side
    1,286.81x = 7,807,134.52
  5. Step 5: Solve for x
    x = 7,807,134.52/1,286.81
  6. Step 6: Final answer
    x = 6,067.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.