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Finding the Third Proportional to 5,478 and 11,742

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Solution

The third proportional to 5,478 and 11,742 is: 25,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 11,742 = 11,742 : x
  2. Step 2: Convert to fraction form
    5,478/11,742 = 11,742/x
  3. Step 3: Cross multiply
    5,478x = 11,742 × 11,742
  4. Step 4: Simplify right side
    5,478x = 137,874,564
  5. Step 5: Solve for x
    x = 137,874,564/5,478
  6. Step 6: Final answer
    x = 25,168.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.