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Finding the Third Proportional to 11,100 and 23,847

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Solution

The third proportional to 11,100 and 23,847 is: 51,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100 : 23,847 = 23,847 : x
  2. Step 2: Convert to fraction form
    11,100/23,847 = 23,847/x
  3. Step 3: Cross multiply
    11,100x = 23,847 × 23,847
  4. Step 4: Simplify right side
    11,100x = 568,679,409
  5. Step 5: Solve for x
    x = 568,679,409/11,100
  6. Step 6: Final answer
    x = 51,232.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.