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Finding the Third Proportional to 690 and 1,611

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Solution

The third proportional to 690 and 1,611 is: 3,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 1,611 = 1,611 : x
  2. Step 2: Convert to fraction form
    690/1,611 = 1,611/x
  3. Step 3: Cross multiply
    690x = 1,611 × 1,611
  4. Step 4: Simplify right side
    690x = 2,595,321
  5. Step 5: Solve for x
    x = 2,595,321/690
  6. Step 6: Final answer
    x = 3,761.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.