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Finding the Third Proportional to 7,891.50 and 13,839

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Solution

The third proportional to 7,891.50 and 13,839 is: 24,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.50 : 13,839 = 13,839 : x
  2. Step 2: Convert to fraction form
    7,891.50/13,839 = 13,839/x
  3. Step 3: Cross multiply
    7,891.50x = 13,839 × 13,839
  4. Step 4: Simplify right side
    7,891.50x = 191,517,921
  5. Step 5: Solve for x
    x = 191,517,921/7,891.50
  6. Step 6: Final answer
    x = 24,268.89

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.