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Finding the Third Proportional to 2,015 and 3,947

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Solution

The third proportional to 2,015 and 3,947 is: 7,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015 : 3,947 = 3,947 : x
  2. Step 2: Convert to fraction form
    2,015/3,947 = 3,947/x
  3. Step 3: Cross multiply
    2,015x = 3,947 × 3,947
  4. Step 4: Simplify right side
    2,015x = 15,578,809
  5. Step 5: Solve for x
    x = 15,578,809/2,015
  6. Step 6: Final answer
    x = 7,731.42

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.