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Finding the Third Proportional to 13,549.78 and 20,515.78

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Solution

The third proportional to 13,549.78 and 20,515.78 is: 31,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.78 : 20,515.78 = 20,515.78 : x
  2. Step 2: Convert to fraction form
    13,549.78/20,515.78 = 20,515.78/x
  3. Step 3: Cross multiply
    13,549.78x = 20,515.78 × 20,515.78
  4. Step 4: Simplify right side
    13,549.78x = 420,897,280.30
  5. Step 5: Solve for x
    x = 420,897,280.30/13,549.78
  6. Step 6: Final answer
    x = 31,063.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.