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Finding the Third Proportional to 308.81 and 453.09

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Solution

The third proportional to 308.81 and 453.09 is: 664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.81 : 453.09 = 453.09 : x
  2. Step 2: Convert to fraction form
    308.81/453.09 = 453.09/x
  3. Step 3: Cross multiply
    308.81x = 453.09 × 453.09
  4. Step 4: Simplify right side
    308.81x = 205,293.95
  5. Step 5: Solve for x
    x = 205,293.95/308.81
  6. Step 6: Final answer
    x = 664.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.