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Finding the Third Proportional to 7,512.75 and 8,211.38

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Solution

The third proportional to 7,512.75 and 8,211.38 is: 8,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.75 : 8,211.38 = 8,211.38 : x
  2. Step 2: Convert to fraction form
    7,512.75/8,211.38 = 8,211.38/x
  3. Step 3: Cross multiply
    7,512.75x = 8,211.38 × 8,211.38
  4. Step 4: Simplify right side
    7,512.75x = 67,426,679.39
  5. Step 5: Solve for x
    x = 67,426,679.39/7,512.75
  6. Step 6: Final answer
    x = 8,974.97

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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.