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Finding the Third Proportional to 3,396.94 and 8,142.19

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Solution

The third proportional to 3,396.94 and 8,142.19 is: 19,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.94 : 8,142.19 = 8,142.19 : x
  2. Step 2: Convert to fraction form
    3,396.94/8,142.19 = 8,142.19/x
  3. Step 3: Cross multiply
    3,396.94x = 8,142.19 × 8,142.19
  4. Step 4: Simplify right side
    3,396.94x = 66,295,217.29
  5. Step 5: Solve for x
    x = 66,295,217.29/3,396.94
  6. Step 6: Final answer
    x = 19,516.17

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.