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Finding the Third Proportional to 5,079 and 7,716.50

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Solution

The third proportional to 5,079 and 7,716.50 is: 11,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,079 : 7,716.50 = 7,716.50 : x
  2. Step 2: Convert to fraction form
    5,079/7,716.50 = 7,716.50/x
  3. Step 3: Cross multiply
    5,079x = 7,716.50 × 7,716.50
  4. Step 4: Simplify right side
    5,079x = 59,544,372.25
  5. Step 5: Solve for x
    x = 59,544,372.25/5,079
  6. Step 6: Final answer
    x = 11,723.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.