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Finding the Third Proportional to 13,638.94 and 20,509.03

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Solution

The third proportional to 13,638.94 and 20,509.03 is: 30,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.94 : 20,509.03 = 20,509.03 : x
  2. Step 2: Convert to fraction form
    13,638.94/20,509.03 = 20,509.03/x
  3. Step 3: Cross multiply
    13,638.94x = 20,509.03 × 20,509.03
  4. Step 4: Simplify right side
    13,638.94x = 420,620,362.81
  5. Step 5: Solve for x
    x = 420,620,362.81/13,638.94
  6. Step 6: Final answer
    x = 30,839.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.