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Finding the Third Proportional to 205.45 and 450.67

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Solution

The third proportional to 205.45 and 450.67 is: 988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 450.67 = 450.67 : x
  2. Step 2: Convert to fraction form
    205.45/450.67 = 450.67/x
  3. Step 3: Cross multiply
    205.45x = 450.67 × 450.67
  4. Step 4: Simplify right side
    205.45x = 203,101.62
  5. Step 5: Solve for x
    x = 203,101.62/205.45
  6. Step 6: Final answer
    x = 988.55

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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.