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Finding the Third Proportional to 3,116 and 6,879.75

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Solution

The third proportional to 3,116 and 6,879.75 is: 15,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116 : 6,879.75 = 6,879.75 : x
  2. Step 2: Convert to fraction form
    3,116/6,879.75 = 6,879.75/x
  3. Step 3: Cross multiply
    3,116x = 6,879.75 × 6,879.75
  4. Step 4: Simplify right side
    3,116x = 47,330,960.06
  5. Step 5: Solve for x
    x = 47,330,960.06/3,116
  6. Step 6: Final answer
    x = 15,189.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.