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Finding the Third Proportional to 1,986 and 4,325

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Solution

The third proportional to 1,986 and 4,325 is: 9,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986 : 4,325 = 4,325 : x
  2. Step 2: Convert to fraction form
    1,986/4,325 = 4,325/x
  3. Step 3: Cross multiply
    1,986x = 4,325 × 4,325
  4. Step 4: Simplify right side
    1,986x = 18,705,625
  5. Step 5: Solve for x
    x = 18,705,625/1,986
  6. Step 6: Final answer
    x = 9,418.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.