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Finding the Third Proportional to 675.84 and 731.37

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Solution

The third proportional to 675.84 and 731.37 is: 791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 731.37 = 731.37 : x
  2. Step 2: Convert to fraction form
    675.84/731.37 = 731.37/x
  3. Step 3: Cross multiply
    675.84x = 731.37 × 731.37
  4. Step 4: Simplify right side
    675.84x = 534,906.53
  5. Step 5: Solve for x
    x = 534,906.53/675.84
  6. Step 6: Final answer
    x = 791.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.