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Finding the Third Proportional to 222,245.44 and 479,489.06

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Solution

The third proportional to 222,245.44 and 479,489.06 is: 1,034,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,245.44 : 479,489.06 = 479,489.06 : x
  2. Step 2: Convert to fraction form
    222,245.44/479,489.06 = 479,489.06/x
  3. Step 3: Cross multiply
    222,245.44x = 479,489.06 × 479,489.06
  4. Step 4: Simplify right side
    222,245.44x = 229,909,761,057.13
  5. Step 5: Solve for x
    x = 229,909,761,057.13/222,245.44
  6. Step 6: Final answer
    x = 1,034,485.85

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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.