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Finding the Third Proportional to 7,717 and 11,287

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Solution

The third proportional to 7,717 and 11,287 is: 16,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717 : 11,287 = 11,287 : x
  2. Step 2: Convert to fraction form
    7,717/11,287 = 11,287/x
  3. Step 3: Cross multiply
    7,717x = 11,287 × 11,287
  4. Step 4: Simplify right side
    7,717x = 127,396,369
  5. Step 5: Solve for x
    x = 127,396,369/7,717
  6. Step 6: Final answer
    x = 16,508.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.