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Finding the Third Proportional to 1,999.05 and 3,177.98

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Solution

The third proportional to 1,999.05 and 3,177.98 is: 5,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.05 : 3,177.98 = 3,177.98 : x
  2. Step 2: Convert to fraction form
    1,999.05/3,177.98 = 3,177.98/x
  3. Step 3: Cross multiply
    1,999.05x = 3,177.98 × 3,177.98
  4. Step 4: Simplify right side
    1,999.05x = 10,099,584.69
  5. Step 5: Solve for x
    x = 10,099,584.69/1,999.05
  6. Step 6: Final answer
    x = 5,052.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.