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Finding the Third Proportional to 3,450.73 and 7,453.27

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Solution

The third proportional to 3,450.73 and 7,453.27 is: 16,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.73 : 7,453.27 = 7,453.27 : x
  2. Step 2: Convert to fraction form
    3,450.73/7,453.27 = 7,453.27/x
  3. Step 3: Cross multiply
    3,450.73x = 7,453.27 × 7,453.27
  4. Step 4: Simplify right side
    3,450.73x = 55,551,168.48
  5. Step 5: Solve for x
    x = 55,551,168.48/3,450.73
  6. Step 6: Final answer
    x = 16,098.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.