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Finding the Third Proportional to 1,962 and 4,085

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Solution

The third proportional to 1,962 and 4,085 is: 8,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962 : 4,085 = 4,085 : x
  2. Step 2: Convert to fraction form
    1,962/4,085 = 4,085/x
  3. Step 3: Cross multiply
    1,962x = 4,085 × 4,085
  4. Step 4: Simplify right side
    1,962x = 16,687,225
  5. Step 5: Solve for x
    x = 16,687,225/1,962
  6. Step 6: Final answer
    x = 8,505.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.