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Finding the Third Proportional to 1,998.84 and 4,188.38

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Solution

The third proportional to 1,998.84 and 4,188.38 is: 8,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.84 : 4,188.38 = 4,188.38 : x
  2. Step 2: Convert to fraction form
    1,998.84/4,188.38 = 4,188.38/x
  3. Step 3: Cross multiply
    1,998.84x = 4,188.38 × 4,188.38
  4. Step 4: Simplify right side
    1,998.84x = 17,542,485.14
  5. Step 5: Solve for x
    x = 17,542,485.14/1,998.84
  6. Step 6: Final answer
    x = 8,776.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.