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Finding the Third Proportional to 18,876 and 45,408

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Solution

The third proportional to 18,876 and 45,408 is: 109,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,876 : 45,408 = 45,408 : x
  2. Step 2: Convert to fraction form
    18,876/45,408 = 45,408/x
  3. Step 3: Cross multiply
    18,876x = 45,408 × 45,408
  4. Step 4: Simplify right side
    18,876x = 2,061,886,464
  5. Step 5: Solve for x
    x = 2,061,886,464/18,876
  6. Step 6: Final answer
    x = 109,233.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.