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Finding the Third Proportional to 8,211.38 and 18,012.38

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Solution

The third proportional to 8,211.38 and 18,012.38 is: 39,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.38 : 18,012.38 = 18,012.38 : x
  2. Step 2: Convert to fraction form
    8,211.38/18,012.38 = 18,012.38/x
  3. Step 3: Cross multiply
    8,211.38x = 18,012.38 × 18,012.38
  4. Step 4: Simplify right side
    8,211.38x = 324,445,653.14
  5. Step 5: Solve for x
    x = 324,445,653.14/8,211.38
  6. Step 6: Final answer
    x = 39,511.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.