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Finding the Third Proportional to 13,628.25 and 20,351.25

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Solution

The third proportional to 13,628.25 and 20,351.25 is: 30,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.25 : 20,351.25 = 20,351.25 : x
  2. Step 2: Convert to fraction form
    13,628.25/20,351.25 = 20,351.25/x
  3. Step 3: Cross multiply
    13,628.25x = 20,351.25 × 20,351.25
  4. Step 4: Simplify right side
    13,628.25x = 414,173,376.56
  5. Step 5: Solve for x
    x = 414,173,376.56/13,628.25
  6. Step 6: Final answer
    x = 30,390.80

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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.