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Finding the Third Proportional to 332,190,122 and 726,940,198

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Solution

The third proportional to 332,190,122 and 726,940,198 is: 1,590,781,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,190,122 : 726,940,198 = 726,940,198 : x
  2. Step 2: Convert to fraction form
    332,190,122/726,940,198 = 726,940,198/x
  3. Step 3: Cross multiply
    332,190,122x = 726,940,198 × 726,940,198
  4. Step 4: Simplify right side
    332,190,122x = 528,442,051,468,279,232
  5. Step 5: Solve for x
    x = 528,442,051,468,279,232/332,190,122
  6. Step 6: Final answer
    x = 1,590,781,954.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.