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Finding the Third Proportional to 2,768 and 3,944

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Solution

The third proportional to 2,768 and 3,944 is: 5,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768 : 3,944 = 3,944 : x
  2. Step 2: Convert to fraction form
    2,768/3,944 = 3,944/x
  3. Step 3: Cross multiply
    2,768x = 3,944 × 3,944
  4. Step 4: Simplify right side
    2,768x = 15,555,136
  5. Step 5: Solve for x
    x = 15,555,136/2,768
  6. Step 6: Final answer
    x = 5,619.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.