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Finding the Third Proportional to 367.31 and 643.22

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Solution

The third proportional to 367.31 and 643.22 is: 1,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.31 : 643.22 = 643.22 : x
  2. Step 2: Convert to fraction form
    367.31/643.22 = 643.22/x
  3. Step 3: Cross multiply
    367.31x = 643.22 × 643.22
  4. Step 4: Simplify right side
    367.31x = 413,730.36
  5. Step 5: Solve for x
    x = 413,730.36/367.31
  6. Step 6: Final answer
    x = 1,126.37

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.