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Finding the Third Proportional to 3,119 and 6,782

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Solution

The third proportional to 3,119 and 6,782 is: 14,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119 : 6,782 = 6,782 : x
  2. Step 2: Convert to fraction form
    3,119/6,782 = 6,782/x
  3. Step 3: Cross multiply
    3,119x = 6,782 × 6,782
  4. Step 4: Simplify right side
    3,119x = 45,995,524
  5. Step 5: Solve for x
    x = 45,995,524/3,119
  6. Step 6: Final answer
    x = 14,746.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.