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Finding the Third Proportional to 217,489 and 479,126

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Solution

The third proportional to 217,489 and 479,126 is: 1,055,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,489 : 479,126 = 479,126 : x
  2. Step 2: Convert to fraction form
    217,489/479,126 = 479,126/x
  3. Step 3: Cross multiply
    217,489x = 479,126 × 479,126
  4. Step 4: Simplify right side
    217,489x = 229,561,723,876
  5. Step 5: Solve for x
    x = 229,561,723,876/217,489
  6. Step 6: Final answer
    x = 1,055,509.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.