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Finding the Third Proportional to 998.81 and 2,179.78

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Solution

The third proportional to 998.81 and 2,179.78 is: 4,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.81 : 2,179.78 = 2,179.78 : x
  2. Step 2: Convert to fraction form
    998.81/2,179.78 = 2,179.78/x
  3. Step 3: Cross multiply
    998.81x = 2,179.78 × 2,179.78
  4. Step 4: Simplify right side
    998.81x = 4,751,446.30
  5. Step 5: Solve for x
    x = 4,751,446.30/998.81
  6. Step 6: Final answer
    x = 4,757.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.