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Finding the Third Proportional to 393.19 and 588.09

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Solution

The third proportional to 393.19 and 588.09 is: 879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.19 : 588.09 = 588.09 : x
  2. Step 2: Convert to fraction form
    393.19/588.09 = 588.09/x
  3. Step 3: Cross multiply
    393.19x = 588.09 × 588.09
  4. Step 4: Simplify right side
    393.19x = 345,854.26
  5. Step 5: Solve for x
    x = 345,854.26/393.19
  6. Step 6: Final answer
    x = 879.62

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