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Finding the Third Proportional to 5,757 and 8,147

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Solution

The third proportional to 5,757 and 8,147 is: 11,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757 : 8,147 = 8,147 : x
  2. Step 2: Convert to fraction form
    5,757/8,147 = 8,147/x
  3. Step 3: Cross multiply
    5,757x = 8,147 × 8,147
  4. Step 4: Simplify right side
    5,757x = 66,373,609
  5. Step 5: Solve for x
    x = 66,373,609/5,757
  6. Step 6: Final answer
    x = 11,529.20

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.