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Finding the Third Proportional to 327.94 and 428.34

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Solution

The third proportional to 327.94 and 428.34 is: 559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 428.34 = 428.34 : x
  2. Step 2: Convert to fraction form
    327.94/428.34 = 428.34/x
  3. Step 3: Cross multiply
    327.94x = 428.34 × 428.34
  4. Step 4: Simplify right side
    327.94x = 183,478.37
  5. Step 5: Solve for x
    x = 183,478.37/327.94
  6. Step 6: Final answer
    x = 559.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.