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Finding the Third Proportional to 7,690 and 16,885

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Solution

The third proportional to 7,690 and 16,885 is: 37,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690 : 16,885 = 16,885 : x
  2. Step 2: Convert to fraction form
    7,690/16,885 = 16,885/x
  3. Step 3: Cross multiply
    7,690x = 16,885 × 16,885
  4. Step 4: Simplify right side
    7,690x = 285,103,225
  5. Step 5: Solve for x
    x = 285,103,225/7,690
  6. Step 6: Final answer
    x = 37,074.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.