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Finding the Third Proportional to 20,815 and 50,729

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Solution

The third proportional to 20,815 and 50,729 is: 123,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815 : 50,729 = 50,729 : x
  2. Step 2: Convert to fraction form
    20,815/50,729 = 50,729/x
  3. Step 3: Cross multiply
    20,815x = 50,729 × 50,729
  4. Step 4: Simplify right side
    20,815x = 2,573,431,441
  5. Step 5: Solve for x
    x = 2,573,431,441/20,815
  6. Step 6: Final answer
    x = 123,633.51

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.