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Finding the Third Proportional to 3,905.41 and 8,387.97

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Solution

The third proportional to 3,905.41 and 8,387.97 is: 18,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.41 : 8,387.97 = 8,387.97 : x
  2. Step 2: Convert to fraction form
    3,905.41/8,387.97 = 8,387.97/x
  3. Step 3: Cross multiply
    3,905.41x = 8,387.97 × 8,387.97
  4. Step 4: Simplify right side
    3,905.41x = 70,358,019.75
  5. Step 5: Solve for x
    x = 70,358,019.75/3,905.41
  6. Step 6: Final answer
    x = 18,015.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.