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Finding the Third Proportional to 20,709 and 33,313.50

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Solution

The third proportional to 20,709 and 33,313.50 is: 53,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709 : 33,313.50 = 33,313.50 : x
  2. Step 2: Convert to fraction form
    20,709/33,313.50 = 33,313.50/x
  3. Step 3: Cross multiply
    20,709x = 33,313.50 × 33,313.50
  4. Step 4: Simplify right side
    20,709x = 1,109,789,282.25
  5. Step 5: Solve for x
    x = 1,109,789,282.25/20,709
  6. Step 6: Final answer
    x = 53,589.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.