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Finding the Third Proportional to 8,761 and 20,261

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Solution

The third proportional to 8,761 and 20,261 is: 46,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761 : 20,261 = 20,261 : x
  2. Step 2: Convert to fraction form
    8,761/20,261 = 20,261/x
  3. Step 3: Cross multiply
    8,761x = 20,261 × 20,261
  4. Step 4: Simplify right side
    8,761x = 410,508,121
  5. Step 5: Solve for x
    x = 410,508,121/8,761
  6. Step 6: Final answer
    x = 46,856.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.