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Finding the Third Proportional to 219,684 and 479,463

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Solution

The third proportional to 219,684 and 479,463 is: 1,046,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,684 : 479,463 = 479,463 : x
  2. Step 2: Convert to fraction form
    219,684/479,463 = 479,463/x
  3. Step 3: Cross multiply
    219,684x = 479,463 × 479,463
  4. Step 4: Simplify right side
    219,684x = 229,884,768,369
  5. Step 5: Solve for x
    x = 229,884,768,369/219,684
  6. Step 6: Final answer
    x = 1,046,433.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.