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Finding the Third Proportional to 3,143.81 and 6,912.21

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Solution

The third proportional to 3,143.81 and 6,912.21 is: 15,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.81 : 6,912.21 = 6,912.21 : x
  2. Step 2: Convert to fraction form
    3,143.81/6,912.21 = 6,912.21/x
  3. Step 3: Cross multiply
    3,143.81x = 6,912.21 × 6,912.21
  4. Step 4: Simplify right side
    3,143.81x = 47,778,660.04
  5. Step 5: Solve for x
    x = 47,778,660.04/3,143.81
  6. Step 6: Final answer
    x = 15,197.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.