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Finding the Third Proportional to 13,561.88 and 20,270.44

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Solution

The third proportional to 13,561.88 and 20,270.44 is: 30,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.88 : 20,270.44 = 20,270.44 : x
  2. Step 2: Convert to fraction form
    13,561.88/20,270.44 = 20,270.44/x
  3. Step 3: Cross multiply
    13,561.88x = 20,270.44 × 20,270.44
  4. Step 4: Simplify right side
    13,561.88x = 410,890,636.44
  5. Step 5: Solve for x
    x = 410,890,636.44/13,561.88
  6. Step 6: Final answer
    x = 30,297.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.