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Finding the Third Proportional to 1,287,707,372 and 2,789,340,794

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Solution

The third proportional to 1,287,707,372 and 2,789,340,794 is: 6,042,073,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,707,372 : 2,789,340,794 = 2,789,340,794 : x
  2. Step 2: Convert to fraction form
    1,287,707,372/2,789,340,794 = 2,789,340,794/x
  3. Step 3: Cross multiply
    1,287,707,372x = 2,789,340,794 × 2,789,340,794
  4. Step 4: Simplify right side
    1,287,707,372x = 7,780,422,065,072,550,912
  5. Step 5: Solve for x
    x = 7,780,422,065,072,550,912/1,287,707,372
  6. Step 6: Final answer
    x = 6,042,073,093.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.