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Finding the Third Proportional to 7,999.88 and 11,260.69

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Solution

The third proportional to 7,999.88 and 11,260.69 is: 15,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.88 : 11,260.69 = 11,260.69 : x
  2. Step 2: Convert to fraction form
    7,999.88/11,260.69 = 11,260.69/x
  3. Step 3: Cross multiply
    7,999.88x = 11,260.69 × 11,260.69
  4. Step 4: Simplify right side
    7,999.88x = 126,803,082.97
  5. Step 5: Solve for x
    x = 126,803,082.97/7,999.88
  6. Step 6: Final answer
    x = 15,850.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.