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Finding the Third Proportional to 3,181.88 and 6,991.31

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Solution

The third proportional to 3,181.88 and 6,991.31 is: 15,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.88 : 6,991.31 = 6,991.31 : x
  2. Step 2: Convert to fraction form
    3,181.88/6,991.31 = 6,991.31/x
  3. Step 3: Cross multiply
    3,181.88x = 6,991.31 × 6,991.31
  4. Step 4: Simplify right side
    3,181.88x = 48,878,450.47
  5. Step 5: Solve for x
    x = 48,878,450.47/3,181.88
  6. Step 6: Final answer
    x = 15,361.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.