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Finding the Third Proportional to 217,478 and 479,107

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Solution

The third proportional to 217,478 and 479,107 is: 1,055,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,478 : 479,107 = 479,107 : x
  2. Step 2: Convert to fraction form
    217,478/479,107 = 479,107/x
  3. Step 3: Cross multiply
    217,478x = 479,107 × 479,107
  4. Step 4: Simplify right side
    217,478x = 229,543,517,449
  5. Step 5: Solve for x
    x = 229,543,517,449/217,478
  6. Step 6: Final answer
    x = 1,055,479.26

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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.