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Finding the Third Proportional to 643.57 and 754.31

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Solution

The third proportional to 643.57 and 754.31 is: 884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.57 : 754.31 = 754.31 : x
  2. Step 2: Convert to fraction form
    643.57/754.31 = 754.31/x
  3. Step 3: Cross multiply
    643.57x = 754.31 × 754.31
  4. Step 4: Simplify right side
    643.57x = 568,987.35
  5. Step 5: Solve for x
    x = 568,987.35/643.57
  6. Step 6: Final answer
    x = 884.11

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.