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Finding the Third Proportional to 1,820.44 and 3,879.19

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Solution

The third proportional to 1,820.44 and 3,879.19 is: 8,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.44 : 3,879.19 = 3,879.19 : x
  2. Step 2: Convert to fraction form
    1,820.44/3,879.19 = 3,879.19/x
  3. Step 3: Cross multiply
    1,820.44x = 3,879.19 × 3,879.19
  4. Step 4: Simplify right side
    1,820.44x = 15,048,095.66
  5. Step 5: Solve for x
    x = 15,048,095.66/1,820.44
  6. Step 6: Final answer
    x = 8,266.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.