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Finding the Third Proportional to 3,205 and 3,505

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Solution

The third proportional to 3,205 and 3,505 is: 3,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 3,505 = 3,505 : x
  2. Step 2: Convert to fraction form
    3,205/3,505 = 3,505/x
  3. Step 3: Cross multiply
    3,205x = 3,505 × 3,505
  4. Step 4: Simplify right side
    3,205x = 12,285,025
  5. Step 5: Solve for x
    x = 12,285,025/3,205
  6. Step 6: Final answer
    x = 3,833.08

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.