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Finding the Third Proportional to 9,704 and 20,125

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Solution

The third proportional to 9,704 and 20,125 is: 41,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704 : 20,125 = 20,125 : x
  2. Step 2: Convert to fraction form
    9,704/20,125 = 20,125/x
  3. Step 3: Cross multiply
    9,704x = 20,125 × 20,125
  4. Step 4: Simplify right side
    9,704x = 405,015,625
  5. Step 5: Solve for x
    x = 405,015,625/9,704
  6. Step 6: Final answer
    x = 41,736.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.