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Finding the Third Proportional to 3,109.50 and 6,882.19

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Solution

The third proportional to 3,109.50 and 6,882.19 is: 15,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.50 : 6,882.19 = 6,882.19 : x
  2. Step 2: Convert to fraction form
    3,109.50/6,882.19 = 6,882.19/x
  3. Step 3: Cross multiply
    3,109.50x = 6,882.19 × 6,882.19
  4. Step 4: Simplify right side
    3,109.50x = 47,364,504.79
  5. Step 5: Solve for x
    x = 47,364,504.79/3,109.50
  6. Step 6: Final answer
    x = 15,232.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.