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Finding the Third Proportional to 20,986 and 30,723

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Solution

The third proportional to 20,986 and 30,723 is: 44,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986 : 30,723 = 30,723 : x
  2. Step 2: Convert to fraction form
    20,986/30,723 = 30,723/x
  3. Step 3: Cross multiply
    20,986x = 30,723 × 30,723
  4. Step 4: Simplify right side
    20,986x = 943,902,729
  5. Step 5: Solve for x
    x = 943,902,729/20,986
  6. Step 6: Final answer
    x = 44,977.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.