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Finding the Third Proportional to 3,427.87 and 5,119.37

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Solution

The third proportional to 3,427.87 and 5,119.37 is: 7,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.87 : 5,119.37 = 5,119.37 : x
  2. Step 2: Convert to fraction form
    3,427.87/5,119.37 = 5,119.37/x
  3. Step 3: Cross multiply
    3,427.87x = 5,119.37 × 5,119.37
  4. Step 4: Simplify right side
    3,427.87x = 26,207,990.39
  5. Step 5: Solve for x
    x = 26,207,990.39/3,427.87
  6. Step 6: Final answer
    x = 7,645.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.