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Finding the Third Proportional to 100,806 and 219,756

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Solution

The third proportional to 100,806 and 219,756 is: 479,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,806 : 219,756 = 219,756 : x
  2. Step 2: Convert to fraction form
    100,806/219,756 = 219,756/x
  3. Step 3: Cross multiply
    100,806x = 219,756 × 219,756
  4. Step 4: Simplify right side
    100,806x = 48,292,699,536
  5. Step 5: Solve for x
    x = 48,292,699,536/100,806
  6. Step 6: Final answer
    x = 479,065.73

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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.