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Finding the Third Proportional to 6,780.38 and 13,996.13

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Solution

The third proportional to 6,780.38 and 13,996.13 is: 28,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.38 : 13,996.13 = 13,996.13 : x
  2. Step 2: Convert to fraction form
    6,780.38/13,996.13 = 13,996.13/x
  3. Step 3: Cross multiply
    6,780.38x = 13,996.13 × 13,996.13
  4. Step 4: Simplify right side
    6,780.38x = 195,891,515.02
  5. Step 5: Solve for x
    x = 195,891,515.02/6,780.38
  6. Step 6: Final answer
    x = 28,890.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.