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Finding the Third Proportional to 280,479,399 and 419,149,287

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Solution

The third proportional to 280,479,399 and 419,149,287 is: 626,377,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,479,399 : 419,149,287 = 419,149,287 : x
  2. Step 2: Convert to fraction form
    280,479,399/419,149,287 = 419,149,287/x
  3. Step 3: Cross multiply
    280,479,399x = 419,149,287 × 419,149,287
  4. Step 4: Simplify right side
    280,479,399x = 175,686,124,792,608,384
  5. Step 5: Solve for x
    x = 175,686,124,792,608,384/280,479,399
  6. Step 6: Final answer
    x = 626,377,999.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.