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Finding the Third Proportional to 5,775 and 8,257

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Solution

The third proportional to 5,775 and 8,257 is: 11,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775 : 8,257 = 8,257 : x
  2. Step 2: Convert to fraction form
    5,775/8,257 = 8,257/x
  3. Step 3: Cross multiply
    5,775x = 8,257 × 8,257
  4. Step 4: Simplify right side
    5,775x = 68,178,049
  5. Step 5: Solve for x
    x = 68,178,049/5,775
  6. Step 6: Final answer
    x = 11,805.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.