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Finding the Third Proportional to 686 and 738

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Solution

The third proportional to 686 and 738 is: 793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 738 = 738 : x
  2. Step 2: Convert to fraction form
    686/738 = 738/x
  3. Step 3: Cross multiply
    686x = 738 × 738
  4. Step 4: Simplify right side
    686x = 544,644
  5. Step 5: Solve for x
    x = 544,644/686
  6. Step 6: Final answer
    x = 793.94

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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.