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Finding the Third Proportional to 206.27 and 308.36

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Solution

The third proportional to 206.27 and 308.36 is: 460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.27 : 308.36 = 308.36 : x
  2. Step 2: Convert to fraction form
    206.27/308.36 = 308.36/x
  3. Step 3: Cross multiply
    206.27x = 308.36 × 308.36
  4. Step 4: Simplify right side
    206.27x = 95,088.52
  5. Step 5: Solve for x
    x = 95,088.52/206.27
  6. Step 6: Final answer
    x = 460.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.