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Finding the Third Proportional to 20,112.38 and 30,129.56

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Solution

The third proportional to 20,112.38 and 30,129.56 is: 45,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.38 : 30,129.56 = 30,129.56 : x
  2. Step 2: Convert to fraction form
    20,112.38/30,129.56 = 30,129.56/x
  3. Step 3: Cross multiply
    20,112.38x = 30,129.56 × 30,129.56
  4. Step 4: Simplify right side
    20,112.38x = 907,790,536.44
  5. Step 5: Solve for x
    x = 907,790,536.44/20,112.38
  6. Step 6: Final answer
    x = 45,135.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.