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Finding the Third Proportional to 9,896 and 11,192

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Solution

The third proportional to 9,896 and 11,192 is: 12,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896 : 11,192 = 11,192 : x
  2. Step 2: Convert to fraction form
    9,896/11,192 = 11,192/x
  3. Step 3: Cross multiply
    9,896x = 11,192 × 11,192
  4. Step 4: Simplify right side
    9,896x = 125,260,864
  5. Step 5: Solve for x
    x = 125,260,864/9,896
  6. Step 6: Final answer
    x = 12,657.73

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.