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Finding the Third Proportional to 222,192 and 335,253.75

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Solution

The third proportional to 222,192 and 335,253.75 is: 505,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,192 : 335,253.75 = 335,253.75 : x
  2. Step 2: Convert to fraction form
    222,192/335,253.75 = 335,253.75/x
  3. Step 3: Cross multiply
    222,192x = 335,253.75 × 335,253.75
  4. Step 4: Simplify right side
    222,192x = 112,395,076,889.06
  5. Step 5: Solve for x
    x = 112,395,076,889.06/222,192
  6. Step 6: Final answer
    x = 505,846.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.