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Finding the Third Proportional to 3,775.13 and 8,198.81

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Solution

The third proportional to 3,775.13 and 8,198.81 is: 17,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.13 : 8,198.81 = 8,198.81 : x
  2. Step 2: Convert to fraction form
    3,775.13/8,198.81 = 8,198.81/x
  3. Step 3: Cross multiply
    3,775.13x = 8,198.81 × 8,198.81
  4. Step 4: Simplify right side
    3,775.13x = 67,220,526.41
  5. Step 5: Solve for x
    x = 67,220,526.41/3,775.13
  6. Step 6: Final answer
    x = 17,806.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.