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Finding the Third Proportional to 268.31 and 394.59

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Solution

The third proportional to 268.31 and 394.59 is: 580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.31 : 394.59 = 394.59 : x
  2. Step 2: Convert to fraction form
    268.31/394.59 = 394.59/x
  3. Step 3: Cross multiply
    268.31x = 394.59 × 394.59
  4. Step 4: Simplify right side
    268.31x = 155,704.23
  5. Step 5: Solve for x
    x = 155,704.23/268.31
  6. Step 6: Final answer
    x = 580.31

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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.