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Finding the Third Proportional to 3,111.75 and 6,087.38

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Solution

The third proportional to 3,111.75 and 6,087.38 is: 11,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.75 : 6,087.38 = 6,087.38 : x
  2. Step 2: Convert to fraction form
    3,111.75/6,087.38 = 6,087.38/x
  3. Step 3: Cross multiply
    3,111.75x = 6,087.38 × 6,087.38
  4. Step 4: Simplify right side
    3,111.75x = 37,056,134.39
  5. Step 5: Solve for x
    x = 37,056,134.39/3,111.75
  6. Step 6: Final answer
    x = 11,908.45

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.