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Finding the Third Proportional to 3,844.13 and 8,434.97

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Solution

The third proportional to 3,844.13 and 8,434.97 is: 18,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.13 : 8,434.97 = 8,434.97 : x
  2. Step 2: Convert to fraction form
    3,844.13/8,434.97 = 8,434.97/x
  3. Step 3: Cross multiply
    3,844.13x = 8,434.97 × 8,434.97
  4. Step 4: Simplify right side
    3,844.13x = 71,148,697.81
  5. Step 5: Solve for x
    x = 71,148,697.81/3,844.13
  6. Step 6: Final answer
    x = 18,508.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.