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Finding the Third Proportional to 11,847 and 18,418.50

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Solution

The third proportional to 11,847 and 18,418.50 is: 28,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847 : 18,418.50 = 18,418.50 : x
  2. Step 2: Convert to fraction form
    11,847/18,418.50 = 18,418.50/x
  3. Step 3: Cross multiply
    11,847x = 18,418.50 × 18,418.50
  4. Step 4: Simplify right side
    11,847x = 339,241,142.25
  5. Step 5: Solve for x
    x = 339,241,142.25/11,847
  6. Step 6: Final answer
    x = 28,635.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.