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Finding the Third Proportional to 279,609,759.75 and 419,414,680.13

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Solution

The third proportional to 279,609,759.75 and 419,414,680.13 is: 629,122,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,609,759.75 : 419,414,680.13 = 419,414,680.13 : x
  2. Step 2: Convert to fraction form
    279,609,759.75/419,414,680.13 = 419,414,680.13/x
  3. Step 3: Cross multiply
    279,609,759.75x = 419,414,680.13 × 419,414,680.13
  4. Step 4: Simplify right side
    279,609,759.75x = 175,908,673,904,356,064
  5. Step 5: Solve for x
    x = 175,908,673,904,356,064/279,609,759.75
  6. Step 6: Final answer
    x = 629,122,080.94

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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.