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Finding the Third Proportional to 227,861 and 490,783

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Solution

The third proportional to 227,861 and 490,783 is: 1,057,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,861 : 490,783 = 490,783 : x
  2. Step 2: Convert to fraction form
    227,861/490,783 = 490,783/x
  3. Step 3: Cross multiply
    227,861x = 490,783 × 490,783
  4. Step 4: Simplify right side
    227,861x = 240,867,953,089
  5. Step 5: Solve for x
    x = 240,867,953,089/227,861
  6. Step 6: Final answer
    x = 1,057,082.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.