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Finding the Third Proportional to 11,399.64 and 18,211.24

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Solution

The third proportional to 11,399.64 and 18,211.24 is: 29,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.64 : 18,211.24 = 18,211.24 : x
  2. Step 2: Convert to fraction form
    11,399.64/18,211.24 = 18,211.24/x
  3. Step 3: Cross multiply
    11,399.64x = 18,211.24 × 18,211.24
  4. Step 4: Simplify right side
    11,399.64x = 331,649,128.60
  5. Step 5: Solve for x
    x = 331,649,128.60/11,399.64
  6. Step 6: Final answer
    x = 29,092.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.