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Finding the Third Proportional to 9,723 and 20,997

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Solution

The third proportional to 9,723 and 20,997 is: 45,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723 : 20,997 = 20,997 : x
  2. Step 2: Convert to fraction form
    9,723/20,997 = 20,997/x
  3. Step 3: Cross multiply
    9,723x = 20,997 × 20,997
  4. Step 4: Simplify right side
    9,723x = 440,874,009
  5. Step 5: Solve for x
    x = 440,874,009/9,723
  6. Step 6: Final answer
    x = 45,343.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.