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Finding the Third Proportional to 9,796 and 11,236

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Solution

The third proportional to 9,796 and 11,236 is: 12,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 11,236 = 11,236 : x
  2. Step 2: Convert to fraction form
    9,796/11,236 = 11,236/x
  3. Step 3: Cross multiply
    9,796x = 11,236 × 11,236
  4. Step 4: Simplify right side
    9,796x = 126,247,696
  5. Step 5: Solve for x
    x = 126,247,696/9,796
  6. Step 6: Final answer
    x = 12,887.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.