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Finding the Third Proportional to 201.05 and 407.67

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Solution

The third proportional to 201.05 and 407.67 is: 826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.05 : 407.67 = 407.67 : x
  2. Step 2: Convert to fraction form
    201.05/407.67 = 407.67/x
  3. Step 3: Cross multiply
    201.05x = 407.67 × 407.67
  4. Step 4: Simplify right side
    201.05x = 166,196.36
  5. Step 5: Solve for x
    x = 166,196.36/201.05
  6. Step 6: Final answer
    x = 826.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.