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Finding the Third Proportional to 13,225.78 and 20,257.59

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Solution

The third proportional to 13,225.78 and 20,257.59 is: 31,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.78 : 20,257.59 = 20,257.59 : x
  2. Step 2: Convert to fraction form
    13,225.78/20,257.59 = 20,257.59/x
  3. Step 3: Cross multiply
    13,225.78x = 20,257.59 × 20,257.59
  4. Step 4: Simplify right side
    13,225.78x = 410,370,104.54
  5. Step 5: Solve for x
    x = 410,370,104.54/13,225.78
  6. Step 6: Final answer
    x = 31,028.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.