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Finding the Third Proportional to 20,451.75 and 31,425.19

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Solution

The third proportional to 20,451.75 and 31,425.19 is: 48,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.75 : 31,425.19 = 31,425.19 : x
  2. Step 2: Convert to fraction form
    20,451.75/31,425.19 = 31,425.19/x
  3. Step 3: Cross multiply
    20,451.75x = 31,425.19 × 31,425.19
  4. Step 4: Simplify right side
    20,451.75x = 987,542,409.41
  5. Step 5: Solve for x
    x = 987,542,409.41/20,451.75
  6. Step 6: Final answer
    x = 48,286.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.