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Finding the Third Proportional to 111,441.66 and 217,299.38

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Solution

The third proportional to 111,441.66 and 217,299.38 is: 423,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,441.66 : 217,299.38 = 217,299.38 : x
  2. Step 2: Convert to fraction form
    111,441.66/217,299.38 = 217,299.38/x
  3. Step 3: Cross multiply
    111,441.66x = 217,299.38 × 217,299.38
  4. Step 4: Simplify right side
    111,441.66x = 47,219,018,375.39
  5. Step 5: Solve for x
    x = 47,219,018,375.39/111,441.66
  6. Step 6: Final answer
    x = 423,710.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.