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Finding the Third Proportional to 1,450.41 and 3,105.84

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Solution

The third proportional to 1,450.41 and 3,105.84 is: 6,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.41 : 3,105.84 = 3,105.84 : x
  2. Step 2: Convert to fraction form
    1,450.41/3,105.84 = 3,105.84/x
  3. Step 3: Cross multiply
    1,450.41x = 3,105.84 × 3,105.84
  4. Step 4: Simplify right side
    1,450.41x = 9,646,265.40
  5. Step 5: Solve for x
    x = 9,646,265.40/1,450.41
  6. Step 6: Final answer
    x = 6,650.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.