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Finding the Third Proportional to 3,912.94 and 5,871.09

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Solution

The third proportional to 3,912.94 and 5,871.09 is: 8,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.94 : 5,871.09 = 5,871.09 : x
  2. Step 2: Convert to fraction form
    3,912.94/5,871.09 = 5,871.09/x
  3. Step 3: Cross multiply
    3,912.94x = 5,871.09 × 5,871.09
  4. Step 4: Simplify right side
    3,912.94x = 34,469,741.82
  5. Step 5: Solve for x
    x = 34,469,741.82/3,912.94
  6. Step 6: Final answer
    x = 8,809.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.