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Finding the Third Proportional to 3,371.63 and 8,138.81

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Solution

The third proportional to 3,371.63 and 8,138.81 is: 19,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.63 : 8,138.81 = 8,138.81 : x
  2. Step 2: Convert to fraction form
    3,371.63/8,138.81 = 8,138.81/x
  3. Step 3: Cross multiply
    3,371.63x = 8,138.81 × 8,138.81
  4. Step 4: Simplify right side
    3,371.63x = 66,240,268.91
  5. Step 5: Solve for x
    x = 66,240,268.91/3,371.63
  6. Step 6: Final answer
    x = 19,646.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.