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Finding the Third Proportional to 6,638 and 7,262

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Solution

The third proportional to 6,638 and 7,262 is: 7,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638 : 7,262 = 7,262 : x
  2. Step 2: Convert to fraction form
    6,638/7,262 = 7,262/x
  3. Step 3: Cross multiply
    6,638x = 7,262 × 7,262
  4. Step 4: Simplify right side
    6,638x = 52,736,644
  5. Step 5: Solve for x
    x = 52,736,644/6,638
  6. Step 6: Final answer
    x = 7,944.66

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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.