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Finding the Third Proportional to 7,419 and 8,067

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Solution

The third proportional to 7,419 and 8,067 is: 8,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419 : 8,067 = 8,067 : x
  2. Step 2: Convert to fraction form
    7,419/8,067 = 8,067/x
  3. Step 3: Cross multiply
    7,419x = 8,067 × 8,067
  4. Step 4: Simplify right side
    7,419x = 65,076,489
  5. Step 5: Solve for x
    x = 65,076,489/7,419
  6. Step 6: Final answer
    x = 8,771.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.