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Finding the Third Proportional to 1,819.69 and 2,220.19

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Solution

The third proportional to 1,819.69 and 2,220.19 is: 2,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.69 : 2,220.19 = 2,220.19 : x
  2. Step 2: Convert to fraction form
    1,819.69/2,220.19 = 2,220.19/x
  3. Step 3: Cross multiply
    1,819.69x = 2,220.19 × 2,220.19
  4. Step 4: Simplify right side
    1,819.69x = 4,929,232.54
  5. Step 5: Solve for x
    x = 4,929,232.54/1,819.69
  6. Step 6: Final answer
    x = 2,708.83

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.