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Finding the Third Proportional to 222,832,496,034 and 489,441,040,398

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Solution

The third proportional to 222,832,496,034 and 489,441,040,398 is: 1,075,034,100,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,832,496,034 : 489,441,040,398 = 489,441,040,398 : x
  2. Step 2: Convert to fraction form
    222,832,496,034/489,441,040,398 = 489,441,040,398/x
  3. Step 3: Cross multiply
    222,832,496,034x = 489,441,040,398 × 489,441,040,398
  4. Step 4: Simplify right side
    222,832,496,034x = 239,552,532,025,876,682,899,456
  5. Step 5: Solve for x
    x = 239,552,532,025,876,682,899,456/222,832,496,034
  6. Step 6: Final answer
    x = 1,075,034,100,902.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.