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Finding the Third Proportional to 279,609,761 and 419,414,682

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Solution

The third proportional to 279,609,761 and 419,414,682 is: 629,122,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,609,761 : 419,414,682 = 419,414,682 : x
  2. Step 2: Convert to fraction form
    279,609,761/419,414,682 = 419,414,682/x
  3. Step 3: Cross multiply
    279,609,761x = 419,414,682 × 419,414,682
  4. Step 4: Simplify right side
    279,609,761x = 175,908,675,477,161,120
  5. Step 5: Solve for x
    x = 175,908,675,477,161,120/279,609,761
  6. Step 6: Final answer
    x = 629,122,083.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.