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Finding the Third Proportional to 6,835.88 and 8,976.19

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Solution

The third proportional to 6,835.88 and 8,976.19 is: 11,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.88 : 8,976.19 = 8,976.19 : x
  2. Step 2: Convert to fraction form
    6,835.88/8,976.19 = 8,976.19/x
  3. Step 3: Cross multiply
    6,835.88x = 8,976.19 × 8,976.19
  4. Step 4: Simplify right side
    6,835.88x = 80,571,942.04
  5. Step 5: Solve for x
    x = 80,571,942.04/6,835.88
  6. Step 6: Final answer
    x = 11,786.63

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.