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Finding the Third Proportional to 1,879.78 and 4,066.97

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Solution

The third proportional to 1,879.78 and 4,066.97 is: 8,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.78 : 4,066.97 = 4,066.97 : x
  2. Step 2: Convert to fraction form
    1,879.78/4,066.97 = 4,066.97/x
  3. Step 3: Cross multiply
    1,879.78x = 4,066.97 × 4,066.97
  4. Step 4: Simplify right side
    1,879.78x = 16,540,234.81
  5. Step 5: Solve for x
    x = 16,540,234.81/1,879.78
  6. Step 6: Final answer
    x = 8,799.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.