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Finding the Third Proportional to 8,274 and 17,843.25

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Solution

The third proportional to 8,274 and 17,843.25 is: 38,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274 : 17,843.25 = 17,843.25 : x
  2. Step 2: Convert to fraction form
    8,274/17,843.25 = 17,843.25/x
  3. Step 3: Cross multiply
    8,274x = 17,843.25 × 17,843.25
  4. Step 4: Simplify right side
    8,274x = 318,381,570.56
  5. Step 5: Solve for x
    x = 318,381,570.56/8,274
  6. Step 6: Final answer
    x = 38,479.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.