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Finding the Third Proportional to 3,188.53 and 6,991.31

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Solution

The third proportional to 3,188.53 and 6,991.31 is: 15,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.53 : 6,991.31 = 6,991.31 : x
  2. Step 2: Convert to fraction form
    3,188.53/6,991.31 = 6,991.31/x
  3. Step 3: Cross multiply
    3,188.53x = 6,991.31 × 6,991.31
  4. Step 4: Simplify right side
    3,188.53x = 48,878,450.47
  5. Step 5: Solve for x
    x = 48,878,450.47/3,188.53
  6. Step 6: Final answer
    x = 15,329.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.