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Finding the Third Proportional to 3,198 and 5,117

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Solution

The third proportional to 3,198 and 5,117 is: 8,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198 : 5,117 = 5,117 : x
  2. Step 2: Convert to fraction form
    3,198/5,117 = 5,117/x
  3. Step 3: Cross multiply
    3,198x = 5,117 × 5,117
  4. Step 4: Simplify right side
    3,198x = 26,183,689
  5. Step 5: Solve for x
    x = 26,183,689/3,198
  6. Step 6: Final answer
    x = 8,187.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.