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Finding the Third Proportional to 7,546 and 8,122

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Solution

The third proportional to 7,546 and 8,122 is: 8,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546 : 8,122 = 8,122 : x
  2. Step 2: Convert to fraction form
    7,546/8,122 = 8,122/x
  3. Step 3: Cross multiply
    7,546x = 8,122 × 8,122
  4. Step 4: Simplify right side
    7,546x = 65,966,884
  5. Step 5: Solve for x
    x = 65,966,884/7,546
  6. Step 6: Final answer
    x = 8,741.97

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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.