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Finding the Third Proportional to 219,612 and 479,379

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Solution

The third proportional to 219,612 and 479,379 is: 1,046,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,612 : 479,379 = 479,379 : x
  2. Step 2: Convert to fraction form
    219,612/479,379 = 479,379/x
  3. Step 3: Cross multiply
    219,612x = 479,379 × 479,379
  4. Step 4: Simplify right side
    219,612x = 229,804,225,641
  5. Step 5: Solve for x
    x = 229,804,225,641/219,612
  6. Step 6: Final answer
    x = 1,046,410.15

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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.