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Finding the Third Proportional to 3,110,728.50 and 6,469,769.25

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Solution

The third proportional to 3,110,728.50 and 6,469,769.25 is: 13,455,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,728.50 : 6,469,769.25 = 6,469,769.25 : x
  2. Step 2: Convert to fraction form
    3,110,728.50/6,469,769.25 = 6,469,769.25/x
  3. Step 3: Cross multiply
    3,110,728.50x = 6,469,769.25 × 6,469,769.25
  4. Step 4: Simplify right side
    3,110,728.50x = 41,857,914,148,245.56
  5. Step 5: Solve for x
    x = 41,857,914,148,245.56/3,110,728.50
  6. Step 6: Final answer
    x = 13,455,984.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.