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Finding the Third Proportional to 1,287,707,391 and 2,789,340,840

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Solution

The third proportional to 1,287,707,391 and 2,789,340,840 is: 6,042,073,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,707,391 : 2,789,340,840 = 2,789,340,840 : x
  2. Step 2: Convert to fraction form
    1,287,707,391/2,789,340,840 = 2,789,340,840/x
  3. Step 3: Cross multiply
    1,287,707,391x = 2,789,340,840 × 2,789,340,840
  4. Step 4: Simplify right side
    1,287,707,391x = 7,780,422,321,691,906,048
  5. Step 5: Solve for x
    x = 7,780,422,321,691,906,048/1,287,707,391
  6. Step 6: Final answer
    x = 6,042,073,203.95

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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.