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Finding the Third Proportional to 103,287 and 218,976

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Solution

The third proportional to 103,287 and 218,976 is: 464,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,287 : 218,976 = 218,976 : x
  2. Step 2: Convert to fraction form
    103,287/218,976 = 218,976/x
  3. Step 3: Cross multiply
    103,287x = 218,976 × 218,976
  4. Step 4: Simplify right side
    103,287x = 47,950,488,576
  5. Step 5: Solve for x
    x = 47,950,488,576/103,287
  6. Step 6: Final answer
    x = 464,245.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.