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Finding the Third Proportional to 1,198.27 and 2,620.78

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Solution

The third proportional to 1,198.27 and 2,620.78 is: 5,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.27 : 2,620.78 = 2,620.78 : x
  2. Step 2: Convert to fraction form
    1,198.27/2,620.78 = 2,620.78/x
  3. Step 3: Cross multiply
    1,198.27x = 2,620.78 × 2,620.78
  4. Step 4: Simplify right side
    1,198.27x = 6,868,494.36
  5. Step 5: Solve for x
    x = 6,868,494.36/1,198.27
  6. Step 6: Final answer
    x = 5,732.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.