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Finding the Third Proportional to 1,646 and 3,366

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Solution

The third proportional to 1,646 and 3,366 is: 6,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646 : 3,366 = 3,366 : x
  2. Step 2: Convert to fraction form
    1,646/3,366 = 3,366/x
  3. Step 3: Cross multiply
    1,646x = 3,366 × 3,366
  4. Step 4: Simplify right side
    1,646x = 11,329,956
  5. Step 5: Solve for x
    x = 11,329,956/1,646
  6. Step 6: Final answer
    x = 6,883.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.