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Finding the Third Proportional to 222,949.97 and 334,494.56

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Solution

The third proportional to 222,949.97 and 334,494.56 is: 501,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,949.97 : 334,494.56 = 334,494.56 : x
  2. Step 2: Convert to fraction form
    222,949.97/334,494.56 = 334,494.56/x
  3. Step 3: Cross multiply
    222,949.97x = 334,494.56 × 334,494.56
  4. Step 4: Simplify right side
    222,949.97x = 111,886,612,342.07
  5. Step 5: Solve for x
    x = 111,886,612,342.07/222,949.97
  6. Step 6: Final answer
    x = 501,846.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.