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Finding the Third Proportional to 1,689 and 3,180

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Solution

The third proportional to 1,689 and 3,180 is: 5,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689 : 3,180 = 3,180 : x
  2. Step 2: Convert to fraction form
    1,689/3,180 = 3,180/x
  3. Step 3: Cross multiply
    1,689x = 3,180 × 3,180
  4. Step 4: Simplify right side
    1,689x = 10,112,400
  5. Step 5: Solve for x
    x = 10,112,400/1,689
  6. Step 6: Final answer
    x = 5,987.21

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.