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Finding the Third Proportional to 3,072 and 6,846

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Solution

The third proportional to 3,072 and 6,846 is: 15,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072 : 6,846 = 6,846 : x
  2. Step 2: Convert to fraction form
    3,072/6,846 = 6,846/x
  3. Step 3: Cross multiply
    3,072x = 6,846 × 6,846
  4. Step 4: Simplify right side
    3,072x = 46,867,716
  5. Step 5: Solve for x
    x = 46,867,716/3,072
  6. Step 6: Final answer
    x = 15,256.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.