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Finding the Third Proportional to 6,242 and 6,722

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Solution

The third proportional to 6,242 and 6,722 is: 7,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242 : 6,722 = 6,722 : x
  2. Step 2: Convert to fraction form
    6,242/6,722 = 6,722/x
  3. Step 3: Cross multiply
    6,242x = 6,722 × 6,722
  4. Step 4: Simplify right side
    6,242x = 45,185,284
  5. Step 5: Solve for x
    x = 45,185,284/6,242
  6. Step 6: Final answer
    x = 7,238.91

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.