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Finding the Third Proportional to 9,956 and 21,864

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Solution

The third proportional to 9,956 and 21,864 is: 48,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956 : 21,864 = 21,864 : x
  2. Step 2: Convert to fraction form
    9,956/21,864 = 21,864/x
  3. Step 3: Cross multiply
    9,956x = 21,864 × 21,864
  4. Step 4: Simplify right side
    9,956x = 478,034,496
  5. Step 5: Solve for x
    x = 478,034,496/9,956
  6. Step 6: Final answer
    x = 48,014.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.