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Finding the Third Proportional to 3,478 and 6,866

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Solution

The third proportional to 3,478 and 6,866 is: 13,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 6,866 = 6,866 : x
  2. Step 2: Convert to fraction form
    3,478/6,866 = 6,866/x
  3. Step 3: Cross multiply
    3,478x = 6,866 × 6,866
  4. Step 4: Simplify right side
    3,478x = 47,141,956
  5. Step 5: Solve for x
    x = 47,141,956/3,478
  6. Step 6: Final answer
    x = 13,554.33

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.