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Finding the Third Proportional to 1,940 and 3,925

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Solution

The third proportional to 1,940 and 3,925 is: 7,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940 : 3,925 = 3,925 : x
  2. Step 2: Convert to fraction form
    1,940/3,925 = 3,925/x
  3. Step 3: Cross multiply
    1,940x = 3,925 × 3,925
  4. Step 4: Simplify right side
    1,940x = 15,405,625
  5. Step 5: Solve for x
    x = 15,405,625/1,940
  6. Step 6: Final answer
    x = 7,941.04

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.