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Finding the Third Proportional to 100,072.69 and 219,826.69

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Solution

The third proportional to 100,072.69 and 219,826.69 is: 482,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072.69 : 219,826.69 = 219,826.69 : x
  2. Step 2: Convert to fraction form
    100,072.69/219,826.69 = 219,826.69/x
  3. Step 3: Cross multiply
    100,072.69x = 219,826.69 × 219,826.69
  4. Step 4: Simplify right side
    100,072.69x = 48,323,772,537.22
  5. Step 5: Solve for x
    x = 48,323,772,537.22/100,072.69
  6. Step 6: Final answer
    x = 482,886.73

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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.