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Finding the Third Proportional to 1,978 and 3,656

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Solution

The third proportional to 1,978 and 3,656 is: 6,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978 : 3,656 = 3,656 : x
  2. Step 2: Convert to fraction form
    1,978/3,656 = 3,656/x
  3. Step 3: Cross multiply
    1,978x = 3,656 × 3,656
  4. Step 4: Simplify right side
    1,978x = 13,366,336
  5. Step 5: Solve for x
    x = 13,366,336/1,978
  6. Step 6: Final answer
    x = 6,757.50

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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.