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Finding the Third Proportional to 1,689 and 1,992.75

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Solution

The third proportional to 1,689 and 1,992.75 is: 2,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689 : 1,992.75 = 1,992.75 : x
  2. Step 2: Convert to fraction form
    1,689/1,992.75 = 1,992.75/x
  3. Step 3: Cross multiply
    1,689x = 1,992.75 × 1,992.75
  4. Step 4: Simplify right side
    1,689x = 3,971,052.56
  5. Step 5: Solve for x
    x = 3,971,052.56/1,689
  6. Step 6: Final answer
    x = 2,351.13

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.