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Finding the Third Proportional to 3,428.44 and 7,126.03

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Solution

The third proportional to 3,428.44 and 7,126.03 is: 14,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.44 : 7,126.03 = 7,126.03 : x
  2. Step 2: Convert to fraction form
    3,428.44/7,126.03 = 7,126.03/x
  3. Step 3: Cross multiply
    3,428.44x = 7,126.03 × 7,126.03
  4. Step 4: Simplify right side
    3,428.44x = 50,780,321.38
  5. Step 5: Solve for x
    x = 50,780,321.38/3,428.44
  6. Step 6: Final answer
    x = 14,811.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.