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Finding the Third Proportional to 206.94 and 309.38

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Solution

The third proportional to 206.94 and 309.38 is: 462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 309.38 = 309.38 : x
  2. Step 2: Convert to fraction form
    206.94/309.38 = 309.38/x
  3. Step 3: Cross multiply
    206.94x = 309.38 × 309.38
  4. Step 4: Simplify right side
    206.94x = 95,712.89
  5. Step 5: Solve for x
    x = 95,712.89/206.94
  6. Step 6: Final answer
    x = 462.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.