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Finding the Third Proportional to 12,576.75 and 20,021.25

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Solution

The third proportional to 12,576.75 and 20,021.25 is: 31,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.75 : 20,021.25 = 20,021.25 : x
  2. Step 2: Convert to fraction form
    12,576.75/20,021.25 = 20,021.25/x
  3. Step 3: Cross multiply
    12,576.75x = 20,021.25 × 20,021.25
  4. Step 4: Simplify right side
    12,576.75x = 400,850,451.56
  5. Step 5: Solve for x
    x = 400,850,451.56/12,576.75
  6. Step 6: Final answer
    x = 31,872.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.