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Finding the Third Proportional to 13,476 and 27,195

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Solution

The third proportional to 13,476 and 27,195 is: 54,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476 : 27,195 = 27,195 : x
  2. Step 2: Convert to fraction form
    13,476/27,195 = 27,195/x
  3. Step 3: Cross multiply
    13,476x = 27,195 × 27,195
  4. Step 4: Simplify right side
    13,476x = 739,568,025
  5. Step 5: Solve for x
    x = 739,568,025/13,476
  6. Step 6: Final answer
    x = 54,880.38

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.