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Finding the Third Proportional to 20,516.63 and 31,382.44

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Solution

The third proportional to 20,516.63 and 31,382.44 is: 48,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.63 : 31,382.44 = 31,382.44 : x
  2. Step 2: Convert to fraction form
    20,516.63/31,382.44 = 31,382.44/x
  3. Step 3: Cross multiply
    20,516.63x = 31,382.44 × 31,382.44
  4. Step 4: Simplify right side
    20,516.63x = 984,857,383.44
  5. Step 5: Solve for x
    x = 984,857,383.44/20,516.63
  6. Step 6: Final answer
    x = 48,002.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.