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Finding the Third Proportional to 222,330.76 and 494,404.38

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Solution

The third proportional to 222,330.76 and 494,404.38 is: 1,099,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,330.76 : 494,404.38 = 494,404.38 : x
  2. Step 2: Convert to fraction form
    222,330.76/494,404.38 = 494,404.38/x
  3. Step 3: Cross multiply
    222,330.76x = 494,404.38 × 494,404.38
  4. Step 4: Simplify right side
    222,330.76x = 244,435,693,744.21
  5. Step 5: Solve for x
    x = 244,435,693,744.21/222,330.76
  6. Step 6: Final answer
    x = 1,099,423.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.