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Finding the Third Proportional to 12,811 and 27,141

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Solution

The third proportional to 12,811 and 27,141 is: 57,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811 : 27,141 = 27,141 : x
  2. Step 2: Convert to fraction form
    12,811/27,141 = 27,141/x
  3. Step 3: Cross multiply
    12,811x = 27,141 × 27,141
  4. Step 4: Simplify right side
    12,811x = 736,633,881
  5. Step 5: Solve for x
    x = 736,633,881/12,811
  6. Step 6: Final answer
    x = 57,500.11

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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.