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Finding the Third Proportional to 13,725 and 20,296.50

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Solution

The third proportional to 13,725 and 20,296.50 is: 30,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 20,296.50 = 20,296.50 : x
  2. Step 2: Convert to fraction form
    13,725/20,296.50 = 20,296.50/x
  3. Step 3: Cross multiply
    13,725x = 20,296.50 × 20,296.50
  4. Step 4: Simplify right side
    13,725x = 411,947,912.25
  5. Step 5: Solve for x
    x = 411,947,912.25/13,725
  6. Step 6: Final answer
    x = 30,014.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.