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Finding the Third Proportional to 5,426.63 and 8,138.44

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Solution

The third proportional to 5,426.63 and 8,138.44 is: 12,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.63 : 8,138.44 = 8,138.44 : x
  2. Step 2: Convert to fraction form
    5,426.63/8,138.44 = 8,138.44/x
  3. Step 3: Cross multiply
    5,426.63x = 8,138.44 × 8,138.44
  4. Step 4: Simplify right side
    5,426.63x = 66,234,164.94
  5. Step 5: Solve for x
    x = 66,234,164.94/5,426.63
  6. Step 6: Final answer
    x = 12,205.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.