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Finding the Third Proportional to 100,542 and 220,956

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Solution

The third proportional to 100,542 and 220,956 is: 485,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542 : 220,956 = 220,956 : x
  2. Step 2: Convert to fraction form
    100,542/220,956 = 220,956/x
  3. Step 3: Cross multiply
    100,542x = 220,956 × 220,956
  4. Step 4: Simplify right side
    100,542x = 48,821,553,936
  5. Step 5: Solve for x
    x = 48,821,553,936/100,542
  6. Step 6: Final answer
    x = 485,583.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.