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Finding the Third Proportional to 20,566 and 30,761

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Solution

The third proportional to 20,566 and 30,761 is: 46,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566 : 30,761 = 30,761 : x
  2. Step 2: Convert to fraction form
    20,566/30,761 = 30,761/x
  3. Step 3: Cross multiply
    20,566x = 30,761 × 30,761
  4. Step 4: Simplify right side
    20,566x = 946,239,121
  5. Step 5: Solve for x
    x = 946,239,121/20,566
  6. Step 6: Final answer
    x = 46,009.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.