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Finding the Third Proportional to 640.69 and 1,241.44

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Solution

The third proportional to 640.69 and 1,241.44 is: 2,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.69 : 1,241.44 = 1,241.44 : x
  2. Step 2: Convert to fraction form
    640.69/1,241.44 = 1,241.44/x
  3. Step 3: Cross multiply
    640.69x = 1,241.44 × 1,241.44
  4. Step 4: Simplify right side
    640.69x = 1,541,167.07
  5. Step 5: Solve for x
    x = 1,541,167.07/640.69
  6. Step 6: Final answer
    x = 2,405.49

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.