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Finding the Third Proportional to 7,828.88 and 11,991.38

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Solution

The third proportional to 7,828.88 and 11,991.38 is: 18,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.88 : 11,991.38 = 11,991.38 : x
  2. Step 2: Convert to fraction form
    7,828.88/11,991.38 = 11,991.38/x
  3. Step 3: Cross multiply
    7,828.88x = 11,991.38 × 11,991.38
  4. Step 4: Simplify right side
    7,828.88x = 143,793,074.39
  5. Step 5: Solve for x
    x = 143,793,074.39/7,828.88
  6. Step 6: Final answer
    x = 18,367.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.