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Finding the Third Proportional to 1,338 and 2,748

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Solution

The third proportional to 1,338 and 2,748 is: 5,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338 : 2,748 = 2,748 : x
  2. Step 2: Convert to fraction form
    1,338/2,748 = 2,748/x
  3. Step 3: Cross multiply
    1,338x = 2,748 × 2,748
  4. Step 4: Simplify right side
    1,338x = 7,551,504
  5. Step 5: Solve for x
    x = 7,551,504/1,338
  6. Step 6: Final answer
    x = 5,643.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.