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Finding the Third Proportional to 192,522,048 and 415,734,240

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Solution

The third proportional to 192,522,048 and 415,734,240 is: 897,741,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,522,048 : 415,734,240 = 415,734,240 : x
  2. Step 2: Convert to fraction form
    192,522,048/415,734,240 = 415,734,240/x
  3. Step 3: Cross multiply
    192,522,048x = 415,734,240 × 415,734,240
  4. Step 4: Simplify right side
    192,522,048x = 172,834,958,308,377,600
  5. Step 5: Solve for x
    x = 172,834,958,308,377,600/192,522,048
  6. Step 6: Final answer
    x = 897,741,116.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.