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Finding the Third Proportional to 8,396 and 10,956

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Solution

The third proportional to 8,396 and 10,956 is: 14,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 10,956 = 10,956 : x
  2. Step 2: Convert to fraction form
    8,396/10,956 = 10,956/x
  3. Step 3: Cross multiply
    8,396x = 10,956 × 10,956
  4. Step 4: Simplify right side
    8,396x = 120,033,936
  5. Step 5: Solve for x
    x = 120,033,936/8,396
  6. Step 6: Final answer
    x = 14,296.56

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.