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Finding the Third Proportional to 1,640.25 and 3,234.94

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Solution

The third proportional to 1,640.25 and 3,234.94 is: 6,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.25 : 3,234.94 = 3,234.94 : x
  2. Step 2: Convert to fraction form
    1,640.25/3,234.94 = 3,234.94/x
  3. Step 3: Cross multiply
    1,640.25x = 3,234.94 × 3,234.94
  4. Step 4: Simplify right side
    1,640.25x = 10,464,820.63
  5. Step 5: Solve for x
    x = 10,464,820.63/1,640.25
  6. Step 6: Final answer
    x = 6,380.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.