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Finding the Third Proportional to 222,108.75 and 324,832.78

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Solution

The third proportional to 222,108.75 and 324,832.78 is: 475,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,108.75 : 324,832.78 = 324,832.78 : x
  2. Step 2: Convert to fraction form
    222,108.75/324,832.78 = 324,832.78/x
  3. Step 3: Cross multiply
    222,108.75x = 324,832.78 × 324,832.78
  4. Step 4: Simplify right side
    222,108.75x = 105,516,335,774.61
  5. Step 5: Solve for x
    x = 105,516,335,774.61/222,108.75
  6. Step 6: Final answer
    x = 475,066.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.