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Finding the Third Proportional to 1,396,380,138 and 3,037,922,796

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Solution

The third proportional to 1,396,380,138 and 3,037,922,796 is: 6,609,213,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,380,138 : 3,037,922,796 = 3,037,922,796 : x
  2. Step 2: Convert to fraction form
    1,396,380,138/3,037,922,796 = 3,037,922,796/x
  3. Step 3: Cross multiply
    1,396,380,138x = 3,037,922,796 × 3,037,922,796
  4. Step 4: Simplify right side
    1,396,380,138x = 9,228,974,914,456,457,216
  5. Step 5: Solve for x
    x = 9,228,974,914,456,457,216/1,396,380,138
  6. Step 6: Final answer
    x = 6,609,213,826.03

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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.