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Finding the Third Proportional to 1,640.25 and 3,452.63

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Solution

The third proportional to 1,640.25 and 3,452.63 is: 7,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.25 : 3,452.63 = 3,452.63 : x
  2. Step 2: Convert to fraction form
    1,640.25/3,452.63 = 3,452.63/x
  3. Step 3: Cross multiply
    1,640.25x = 3,452.63 × 3,452.63
  4. Step 4: Simplify right side
    1,640.25x = 11,920,619.39
  5. Step 5: Solve for x
    x = 11,920,619.39/1,640.25
  6. Step 6: Final answer
    x = 7,267.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.