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Finding the Third Proportional to 8,491 and 9,775

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Solution

The third proportional to 8,491 and 9,775 is: 11,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491 : 9,775 = 9,775 : x
  2. Step 2: Convert to fraction form
    8,491/9,775 = 9,775/x
  3. Step 3: Cross multiply
    8,491x = 9,775 × 9,775
  4. Step 4: Simplify right side
    8,491x = 95,550,625
  5. Step 5: Solve for x
    x = 95,550,625/8,491
  6. Step 6: Final answer
    x = 11,253.17

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.