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Finding the Third Proportional to 4,978 and 6,827

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Solution

The third proportional to 4,978 and 6,827 is: 9,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 6,827 = 6,827 : x
  2. Step 2: Convert to fraction form
    4,978/6,827 = 6,827/x
  3. Step 3: Cross multiply
    4,978x = 6,827 × 6,827
  4. Step 4: Simplify right side
    4,978x = 46,607,929
  5. Step 5: Solve for x
    x = 46,607,929/4,978
  6. Step 6: Final answer
    x = 9,362.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.