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Finding the Third Proportional to 12,816 and 27,147

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Solution

The third proportional to 12,816 and 27,147 is: 57,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 27,147 = 27,147 : x
  2. Step 2: Convert to fraction form
    12,816/27,147 = 27,147/x
  3. Step 3: Cross multiply
    12,816x = 27,147 × 27,147
  4. Step 4: Simplify right side
    12,816x = 736,959,609
  5. Step 5: Solve for x
    x = 736,959,609/12,816
  6. Step 6: Final answer
    x = 57,503.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.