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Finding the Third Proportional to 11,887.22 and 18,396.28

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Solution

The third proportional to 11,887.22 and 18,396.28 is: 28,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.22 : 18,396.28 = 18,396.28 : x
  2. Step 2: Convert to fraction form
    11,887.22/18,396.28 = 18,396.28/x
  3. Step 3: Cross multiply
    11,887.22x = 18,396.28 × 18,396.28
  4. Step 4: Simplify right side
    11,887.22x = 338,423,163.83
  5. Step 5: Solve for x
    x = 338,423,163.83/11,887.22
  6. Step 6: Final answer
    x = 28,469.50

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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.