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Finding the Third Proportional to 219,907 and 480,299

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Solution

The third proportional to 219,907 and 480,299 is: 1,049,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,907 : 480,299 = 480,299 : x
  2. Step 2: Convert to fraction form
    219,907/480,299 = 480,299/x
  3. Step 3: Cross multiply
    219,907x = 480,299 × 480,299
  4. Step 4: Simplify right side
    219,907x = 230,687,129,401
  5. Step 5: Solve for x
    x = 230,687,129,401/219,907
  6. Step 6: Final answer
    x = 1,049,021.31

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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.