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Finding the Third Proportional to 1,828.20 and 3,998.11

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Solution

The third proportional to 1,828.20 and 3,998.11 is: 8,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.20 : 3,998.11 = 3,998.11 : x
  2. Step 2: Convert to fraction form
    1,828.20/3,998.11 = 3,998.11/x
  3. Step 3: Cross multiply
    1,828.20x = 3,998.11 × 3,998.11
  4. Step 4: Simplify right side
    1,828.20x = 15,984,878.57
  5. Step 5: Solve for x
    x = 15,984,878.57/1,828.20
  6. Step 6: Final answer
    x = 8,743.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.