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Finding the Third Proportional to 5,380.17 and 8,311.36

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Solution

The third proportional to 5,380.17 and 8,311.36 is: 12,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.17 : 8,311.36 = 8,311.36 : x
  2. Step 2: Convert to fraction form
    5,380.17/8,311.36 = 8,311.36/x
  3. Step 3: Cross multiply
    5,380.17x = 8,311.36 × 8,311.36
  4. Step 4: Simplify right side
    5,380.17x = 69,078,694.66
  5. Step 5: Solve for x
    x = 69,078,694.66/5,380.17
  6. Step 6: Final answer
    x = 12,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.