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Finding the Third Proportional to 2,978 and 4,531

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Solution

The third proportional to 2,978 and 4,531 is: 6,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,531 = 4,531 : x
  2. Step 2: Convert to fraction form
    2,978/4,531 = 4,531/x
  3. Step 3: Cross multiply
    2,978x = 4,531 × 4,531
  4. Step 4: Simplify right side
    2,978x = 20,529,961
  5. Step 5: Solve for x
    x = 20,529,961/2,978
  6. Step 6: Final answer
    x = 6,893.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.