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Finding the Third Proportional to 3,403.69 and 5,205.09

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Solution

The third proportional to 3,403.69 and 5,205.09 is: 7,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.69 : 5,205.09 = 5,205.09 : x
  2. Step 2: Convert to fraction form
    3,403.69/5,205.09 = 5,205.09/x
  3. Step 3: Cross multiply
    3,403.69x = 5,205.09 × 5,205.09
  4. Step 4: Simplify right side
    3,403.69x = 27,093,000.95
  5. Step 5: Solve for x
    x = 27,093,000.95/3,403.69
  6. Step 6: Final answer
    x = 7,959.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.