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Finding the Third Proportional to 20,949 and 47,861.25

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Solution

The third proportional to 20,949 and 47,861.25 is: 109,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,949 : 47,861.25 = 47,861.25 : x
  2. Step 2: Convert to fraction form
    20,949/47,861.25 = 47,861.25/x
  3. Step 3: Cross multiply
    20,949x = 47,861.25 × 47,861.25
  4. Step 4: Simplify right side
    20,949x = 2,290,699,251.56
  5. Step 5: Solve for x
    x = 2,290,699,251.56/20,949
  6. Step 6: Final answer
    x = 109,346.47

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.