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Finding the Third Proportional to 10,919 and 16,478

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Solution

The third proportional to 10,919 and 16,478 is: 24,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919 : 16,478 = 16,478 : x
  2. Step 2: Convert to fraction form
    10,919/16,478 = 16,478/x
  3. Step 3: Cross multiply
    10,919x = 16,478 × 16,478
  4. Step 4: Simplify right side
    10,919x = 271,524,484
  5. Step 5: Solve for x
    x = 271,524,484/10,919
  6. Step 6: Final answer
    x = 24,867.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.