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Finding the Third Proportional to 7,991 and 16,619

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Solution

The third proportional to 7,991 and 16,619 is: 34,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991 : 16,619 = 16,619 : x
  2. Step 2: Convert to fraction form
    7,991/16,619 = 16,619/x
  3. Step 3: Cross multiply
    7,991x = 16,619 × 16,619
  4. Step 4: Simplify right side
    7,991x = 276,191,161
  5. Step 5: Solve for x
    x = 276,191,161/7,991
  6. Step 6: Final answer
    x = 34,562.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.