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Finding the Third Proportional to 3,843.19 and 8,291.81

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Solution

The third proportional to 3,843.19 and 8,291.81 is: 17,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.19 : 8,291.81 = 8,291.81 : x
  2. Step 2: Convert to fraction form
    3,843.19/8,291.81 = 8,291.81/x
  3. Step 3: Cross multiply
    3,843.19x = 8,291.81 × 8,291.81
  4. Step 4: Simplify right side
    3,843.19x = 68,754,154.54
  5. Step 5: Solve for x
    x = 68,754,154.54/3,843.19
  6. Step 6: Final answer
    x = 17,889.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.