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Finding the Third Proportional to 2,891.81 and 3,195.56

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Solution

The third proportional to 2,891.81 and 3,195.56 is: 3,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.81 : 3,195.56 = 3,195.56 : x
  2. Step 2: Convert to fraction form
    2,891.81/3,195.56 = 3,195.56/x
  3. Step 3: Cross multiply
    2,891.81x = 3,195.56 × 3,195.56
  4. Step 4: Simplify right side
    2,891.81x = 10,211,619.69
  5. Step 5: Solve for x
    x = 10,211,619.69/2,891.81
  6. Step 6: Final answer
    x = 3,531.22

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.