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Finding the Third Proportional to 643.03 and 1,383.66

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Solution

The third proportional to 643.03 and 1,383.66 is: 2,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.03 : 1,383.66 = 1,383.66 : x
  2. Step 2: Convert to fraction form
    643.03/1,383.66 = 1,383.66/x
  3. Step 3: Cross multiply
    643.03x = 1,383.66 × 1,383.66
  4. Step 4: Simplify right side
    643.03x = 1,914,504.62
  5. Step 5: Solve for x
    x = 1,914,504.62/643.03
  6. Step 6: Final answer
    x = 2,977.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.