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Finding the Third Proportional to 219,608 and 479,371

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Solution

The third proportional to 219,608 and 479,371 is: 1,046,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,608 : 479,371 = 479,371 : x
  2. Step 2: Convert to fraction form
    219,608/479,371 = 479,371/x
  3. Step 3: Cross multiply
    219,608x = 479,371 × 479,371
  4. Step 4: Simplify right side
    219,608x = 229,796,555,641
  5. Step 5: Solve for x
    x = 229,796,555,641/219,608
  6. Step 6: Final answer
    x = 1,046,394.28

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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.