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Finding the Third Proportional to 1,809,311,150 and 3,939,006,109

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Solution

The third proportional to 1,809,311,150 and 3,939,006,109 is: 8,575,511,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,311,150 : 3,939,006,109 = 3,939,006,109 : x
  2. Step 2: Convert to fraction form
    1,809,311,150/3,939,006,109 = 3,939,006,109/x
  3. Step 3: Cross multiply
    1,809,311,150x = 3,939,006,109 × 3,939,006,109
  4. Step 4: Simplify right side
    1,809,311,150x = 15,515,769,126,739,320,832
  5. Step 5: Solve for x
    x = 15,515,769,126,739,320,832/1,809,311,150
  6. Step 6: Final answer
    x = 8,575,511,805.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.