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Finding the Third Proportional to 6,378.39 and 13,517.65

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Solution

The third proportional to 6,378.39 and 13,517.65 is: 28,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.39 : 13,517.65 = 13,517.65 : x
  2. Step 2: Convert to fraction form
    6,378.39/13,517.65 = 13,517.65/x
  3. Step 3: Cross multiply
    6,378.39x = 13,517.65 × 13,517.65
  4. Step 4: Simplify right side
    6,378.39x = 182,726,759.88
  5. Step 5: Solve for x
    x = 182,726,759.88/6,378.39
  6. Step 6: Final answer
    x = 28,647.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.