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Finding the Third Proportional to 12,811 and 26,261

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Solution

The third proportional to 12,811 and 26,261 is: 53,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811 : 26,261 = 26,261 : x
  2. Step 2: Convert to fraction form
    12,811/26,261 = 26,261/x
  3. Step 3: Cross multiply
    12,811x = 26,261 × 26,261
  4. Step 4: Simplify right side
    12,811x = 689,640,121
  5. Step 5: Solve for x
    x = 689,640,121/12,811
  6. Step 6: Final answer
    x = 53,831.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.