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Finding the Third Proportional to 279,609,759 and 419,414,679

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Solution

The third proportional to 279,609,759 and 419,414,679 is: 629,122,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,609,759 : 419,414,679 = 419,414,679 : x
  2. Step 2: Convert to fraction form
    279,609,759/419,414,679 = 419,414,679/x
  3. Step 3: Cross multiply
    279,609,759x = 419,414,679 × 419,414,679
  4. Step 4: Simplify right side
    279,609,759x = 175,908,672,960,673,056
  5. Step 5: Solve for x
    x = 175,908,672,960,673,056/279,609,759
  6. Step 6: Final answer
    x = 629,122,079.25

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Why These Related Problems?

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