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Finding the Third Proportional to 3,110,733 and 6,469,778.25

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Solution

The third proportional to 3,110,733 and 6,469,778.25 is: 13,456,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,733 : 6,469,778.25 = 6,469,778.25 : x
  2. Step 2: Convert to fraction form
    3,110,733/6,469,778.25 = 6,469,778.25/x
  3. Step 3: Cross multiply
    3,110,733x = 6,469,778.25 × 6,469,778.25
  4. Step 4: Simplify right side
    3,110,733x = 41,858,030,604,173.06
  5. Step 5: Solve for x
    x = 41,858,030,604,173.06/3,110,733
  6. Step 6: Final answer
    x = 13,456,002.36

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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.