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Finding the Third Proportional to 208.03 and 299.67

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Solution

The third proportional to 208.03 and 299.67 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.03 : 299.67 = 299.67 : x
  2. Step 2: Convert to fraction form
    208.03/299.67 = 299.67/x
  3. Step 3: Cross multiply
    208.03x = 299.67 × 299.67
  4. Step 4: Simplify right side
    208.03x = 89,803.23
  5. Step 5: Solve for x
    x = 89,803.23/208.03
  6. Step 6: Final answer
    x = 431.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.