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Finding the Third Proportional to 689 and 1,635

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Solution

The third proportional to 689 and 1,635 is: 3,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    689 : 1,635 = 1,635 : x
  2. Step 2: Convert to fraction form
    689/1,635 = 1,635/x
  3. Step 3: Cross multiply
    689x = 1,635 × 1,635
  4. Step 4: Simplify right side
    689x = 2,673,225
  5. Step 5: Solve for x
    x = 2,673,225/689
  6. Step 6: Final answer
    x = 3,879.86

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.