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Finding the Third Proportional to 3,143.81 and 6,188.91

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Solution

The third proportional to 3,143.81 and 6,188.91 is: 12,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.81 : 6,188.91 = 6,188.91 : x
  2. Step 2: Convert to fraction form
    3,143.81/6,188.91 = 6,188.91/x
  3. Step 3: Cross multiply
    3,143.81x = 6,188.91 × 6,188.91
  4. Step 4: Simplify right side
    3,143.81x = 38,302,560.57
  5. Step 5: Solve for x
    x = 38,302,560.57/3,143.81
  6. Step 6: Final answer
    x = 12,183.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.