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Finding the Third Proportional to 6,321.80 and 13,811.13

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Solution

The third proportional to 6,321.80 and 13,811.13 is: 30,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.80 : 13,811.13 = 13,811.13 : x
  2. Step 2: Convert to fraction form
    6,321.80/13,811.13 = 13,811.13/x
  3. Step 3: Cross multiply
    6,321.80x = 13,811.13 × 13,811.13
  4. Step 4: Simplify right side
    6,321.80x = 190,747,389.56
  5. Step 5: Solve for x
    x = 190,747,389.56/6,321.80
  6. Step 6: Final answer
    x = 30,172.97

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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.