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Finding the Third Proportional to 10,104 and 20,496.75

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Solution

The third proportional to 10,104 and 20,496.75 is: 41,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104 : 20,496.75 = 20,496.75 : x
  2. Step 2: Convert to fraction form
    10,104/20,496.75 = 20,496.75/x
  3. Step 3: Cross multiply
    10,104x = 20,496.75 × 20,496.75
  4. Step 4: Simplify right side
    10,104x = 420,116,760.56
  5. Step 5: Solve for x
    x = 420,116,760.56/10,104
  6. Step 6: Final answer
    x = 41,579.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.