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Finding the Third Proportional to 222,866 and 486,388

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Solution

The third proportional to 222,866 and 486,388 is: 1,061,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,866 : 486,388 = 486,388 : x
  2. Step 2: Convert to fraction form
    222,866/486,388 = 486,388/x
  3. Step 3: Cross multiply
    222,866x = 486,388 × 486,388
  4. Step 4: Simplify right side
    222,866x = 236,573,286,544
  5. Step 5: Solve for x
    x = 236,573,286,544/222,866
  6. Step 6: Final answer
    x = 1,061,504.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.