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Finding the Third Proportional to 13,110 and 18,425

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Solution

The third proportional to 13,110 and 18,425 is: 25,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110 : 18,425 = 18,425 : x
  2. Step 2: Convert to fraction form
    13,110/18,425 = 18,425/x
  3. Step 3: Cross multiply
    13,110x = 18,425 × 18,425
  4. Step 4: Simplify right side
    13,110x = 339,480,625
  5. Step 5: Solve for x
    x = 339,480,625/13,110
  6. Step 6: Final answer
    x = 25,894.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.