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Finding the Third Proportional to 8,142.75 and 17,844.19

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Solution

The third proportional to 8,142.75 and 17,844.19 is: 39,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.75 : 17,844.19 = 17,844.19 : x
  2. Step 2: Convert to fraction form
    8,142.75/17,844.19 = 17,844.19/x
  3. Step 3: Cross multiply
    8,142.75x = 17,844.19 × 17,844.19
  4. Step 4: Simplify right side
    8,142.75x = 318,415,027.54
  5. Step 5: Solve for x
    x = 318,415,027.54/8,142.75
  6. Step 6: Final answer
    x = 39,104.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.