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Finding the Third Proportional to 15,991 and 25,085

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Solution

The third proportional to 15,991 and 25,085 is: 39,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991 : 25,085 = 25,085 : x
  2. Step 2: Convert to fraction form
    15,991/25,085 = 25,085/x
  3. Step 3: Cross multiply
    15,991x = 25,085 × 25,085
  4. Step 4: Simplify right side
    15,991x = 629,257,225
  5. Step 5: Solve for x
    x = 629,257,225/15,991
  6. Step 6: Final answer
    x = 39,350.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.