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Finding the Third Proportional to 206.56 and 319.66

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Solution

The third proportional to 206.56 and 319.66 is: 494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 319.66 = 319.66 : x
  2. Step 2: Convert to fraction form
    206.56/319.66 = 319.66/x
  3. Step 3: Cross multiply
    206.56x = 319.66 × 319.66
  4. Step 4: Simplify right side
    206.56x = 102,180.12
  5. Step 5: Solve for x
    x = 102,180.12/206.56
  6. Step 6: Final answer
    x = 494.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.