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Finding the Third Proportional to 13,562.72 and 20,330.44

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Solution

The third proportional to 13,562.72 and 20,330.44 is: 30,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.72 : 20,330.44 = 20,330.44 : x
  2. Step 2: Convert to fraction form
    13,562.72/20,330.44 = 20,330.44/x
  3. Step 3: Cross multiply
    13,562.72x = 20,330.44 × 20,330.44
  4. Step 4: Simplify right side
    13,562.72x = 413,326,688.94
  5. Step 5: Solve for x
    x = 413,326,688.94/13,562.72
  6. Step 6: Final answer
    x = 30,475.21

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Why These Related Problems?

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