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Finding the Third Proportional to 2,068 and 3,189

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Solution

The third proportional to 2,068 and 3,189 is: 4,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068 : 3,189 = 3,189 : x
  2. Step 2: Convert to fraction form
    2,068/3,189 = 3,189/x
  3. Step 3: Cross multiply
    2,068x = 3,189 × 3,189
  4. Step 4: Simplify right side
    2,068x = 10,169,721
  5. Step 5: Solve for x
    x = 10,169,721/2,068
  6. Step 6: Final answer
    x = 4,917.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.