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Finding the Third Proportional to 11,982 and 17,856

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Solution

The third proportional to 11,982 and 17,856 is: 26,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982 : 17,856 = 17,856 : x
  2. Step 2: Convert to fraction form
    11,982/17,856 = 17,856/x
  3. Step 3: Cross multiply
    11,982x = 17,856 × 17,856
  4. Step 4: Simplify right side
    11,982x = 318,836,736
  5. Step 5: Solve for x
    x = 318,836,736/11,982
  6. Step 6: Final answer
    x = 26,609.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.