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Finding the Third Proportional to 217,629 and 479,392

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Solution

The third proportional to 217,629 and 479,392 is: 1,056,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,629 : 479,392 = 479,392 : x
  2. Step 2: Convert to fraction form
    217,629/479,392 = 479,392/x
  3. Step 3: Cross multiply
    217,629x = 479,392 × 479,392
  4. Step 4: Simplify right side
    217,629x = 229,816,689,664
  5. Step 5: Solve for x
    x = 229,816,689,664/217,629
  6. Step 6: Final answer
    x = 1,056,002.14

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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.