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Finding the Third Proportional to 393.89 and 605.39

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Solution

The third proportional to 393.89 and 605.39 is: 930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.89 : 605.39 = 605.39 : x
  2. Step 2: Convert to fraction form
    393.89/605.39 = 605.39/x
  3. Step 3: Cross multiply
    393.89x = 605.39 × 605.39
  4. Step 4: Simplify right side
    393.89x = 366,497.81
  5. Step 5: Solve for x
    x = 366,497.81/393.89
  6. Step 6: Final answer
    x = 930.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.