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Finding the Third Proportional to 3,439.97 and 7,890.86

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Solution

The third proportional to 3,439.97 and 7,890.86 is: 18,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.97 : 7,890.86 = 7,890.86 : x
  2. Step 2: Convert to fraction form
    3,439.97/7,890.86 = 7,890.86/x
  3. Step 3: Cross multiply
    3,439.97x = 7,890.86 × 7,890.86
  4. Step 4: Simplify right side
    3,439.97x = 62,265,600.03
  5. Step 5: Solve for x
    x = 62,265,600.03/3,439.97
  6. Step 6: Final answer
    x = 18,100.63

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.