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Finding the Third Proportional to 222,552 and 494,856

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Solution

The third proportional to 222,552 and 494,856 is: 1,100,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,552 : 494,856 = 494,856 : x
  2. Step 2: Convert to fraction form
    222,552/494,856 = 494,856/x
  3. Step 3: Cross multiply
    222,552x = 494,856 × 494,856
  4. Step 4: Simplify right side
    222,552x = 244,882,460,736
  5. Step 5: Solve for x
    x = 244,882,460,736/222,552
  6. Step 6: Final answer
    x = 1,100,338.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.