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Finding the Third Proportional to 3,978 and 7,340

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Solution

The third proportional to 3,978 and 7,340 is: 13,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978 : 7,340 = 7,340 : x
  2. Step 2: Convert to fraction form
    3,978/7,340 = 7,340/x
  3. Step 3: Cross multiply
    3,978x = 7,340 × 7,340
  4. Step 4: Simplify right side
    3,978x = 53,875,600
  5. Step 5: Solve for x
    x = 53,875,600/3,978
  6. Step 6: Final answer
    x = 13,543.39

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.