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Finding the Third Proportional to 3,187.83 and 6,940.21

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Solution

The third proportional to 3,187.83 and 6,940.21 is: 15,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.83 : 6,940.21 = 6,940.21 : x
  2. Step 2: Convert to fraction form
    3,187.83/6,940.21 = 6,940.21/x
  3. Step 3: Cross multiply
    3,187.83x = 6,940.21 × 6,940.21
  4. Step 4: Simplify right side
    3,187.83x = 48,166,554.97
  5. Step 5: Solve for x
    x = 48,166,554.97/3,187.83
  6. Step 6: Final answer
    x = 15,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.