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Finding the Third Proportional to 6,540.75 and 9,906.05

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Solution

The third proportional to 6,540.75 and 9,906.05 is: 15,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.75 : 9,906.05 = 9,906.05 : x
  2. Step 2: Convert to fraction form
    6,540.75/9,906.05 = 9,906.05/x
  3. Step 3: Cross multiply
    6,540.75x = 9,906.05 × 9,906.05
  4. Step 4: Simplify right side
    6,540.75x = 98,129,764.69
  5. Step 5: Solve for x
    x = 98,129,764.69/6,540.75
  6. Step 6: Final answer
    x = 15,002.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.