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Finding the Third Proportional to 1,603.97 and 3,451.78

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Solution

The third proportional to 1,603.97 and 3,451.78 is: 7,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.97 : 3,451.78 = 3,451.78 : x
  2. Step 2: Convert to fraction form
    1,603.97/3,451.78 = 3,451.78/x
  3. Step 3: Cross multiply
    1,603.97x = 3,451.78 × 3,451.78
  4. Step 4: Simplify right side
    1,603.97x = 11,914,793.80
  5. Step 5: Solve for x
    x = 11,914,793.80/1,603.97
  6. Step 6: Final answer
    x = 7,428.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.