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Finding the Third Proportional to 2,978 and 7,041

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Solution

The third proportional to 2,978 and 7,041 is: 16,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 7,041 = 7,041 : x
  2. Step 2: Convert to fraction form
    2,978/7,041 = 7,041/x
  3. Step 3: Cross multiply
    2,978x = 7,041 × 7,041
  4. Step 4: Simplify right side
    2,978x = 49,575,681
  5. Step 5: Solve for x
    x = 49,575,681/2,978
  6. Step 6: Final answer
    x = 16,647.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.