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Finding the Third Proportional to 17,876 and 38,126

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Solution

The third proportional to 17,876 and 38,126 is: 81,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876 : 38,126 = 38,126 : x
  2. Step 2: Convert to fraction form
    17,876/38,126 = 38,126/x
  3. Step 3: Cross multiply
    17,876x = 38,126 × 38,126
  4. Step 4: Simplify right side
    17,876x = 1,453,591,876
  5. Step 5: Solve for x
    x = 1,453,591,876/17,876
  6. Step 6: Final answer
    x = 81,315.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.