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Finding the Third Proportional to 7,998.75 and 11,999.81

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Solution

The third proportional to 7,998.75 and 11,999.81 is: 18,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 11,999.81 = 11,999.81 : x
  2. Step 2: Convert to fraction form
    7,998.75/11,999.81 = 11,999.81/x
  3. Step 3: Cross multiply
    7,998.75x = 11,999.81 × 11,999.81
  4. Step 4: Simplify right side
    7,998.75x = 143,995,500.04
  5. Step 5: Solve for x
    x = 143,995,500.04/7,998.75
  6. Step 6: Final answer
    x = 18,002.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.