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Finding the Third Proportional to 6,718 and 7,422

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Solution

The third proportional to 6,718 and 7,422 is: 8,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718 : 7,422 = 7,422 : x
  2. Step 2: Convert to fraction form
    6,718/7,422 = 7,422/x
  3. Step 3: Cross multiply
    6,718x = 7,422 × 7,422
  4. Step 4: Simplify right side
    6,718x = 55,086,084
  5. Step 5: Solve for x
    x = 55,086,084/6,718
  6. Step 6: Final answer
    x = 8,199.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.