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Finding the Third Proportional to 226,636.42 and 490,639.78

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Solution

The third proportional to 226,636.42 and 490,639.78 is: 1,062,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,636.42 : 490,639.78 = 490,639.78 : x
  2. Step 2: Convert to fraction form
    226,636.42/490,639.78 = 490,639.78/x
  3. Step 3: Cross multiply
    226,636.42x = 490,639.78 × 490,639.78
  4. Step 4: Simplify right side
    226,636.42x = 240,727,394,945.05
  5. Step 5: Solve for x
    x = 240,727,394,945.05/226,636.42
  6. Step 6: Final answer
    x = 1,062,174.37

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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.