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Finding the Third Proportional to 6,279.75 and 13,815

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Solution

The third proportional to 6,279.75 and 13,815 is: 30,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.75 : 13,815 = 13,815 : x
  2. Step 2: Convert to fraction form
    6,279.75/13,815 = 13,815/x
  3. Step 3: Cross multiply
    6,279.75x = 13,815 × 13,815
  4. Step 4: Simplify right side
    6,279.75x = 190,854,225
  5. Step 5: Solve for x
    x = 190,854,225/6,279.75
  6. Step 6: Final answer
    x = 30,392.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.