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Finding the Third Proportional to 206.51 and 280.49

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Solution

The third proportional to 206.51 and 280.49 is: 380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 280.49 = 280.49 : x
  2. Step 2: Convert to fraction form
    206.51/280.49 = 280.49/x
  3. Step 3: Cross multiply
    206.51x = 280.49 × 280.49
  4. Step 4: Simplify right side
    206.51x = 78,676.96
  5. Step 5: Solve for x
    x = 78,676.96/206.51
  6. Step 6: Final answer
    x = 380.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.