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Finding the Third Proportional to 394.88 and 548.65

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Solution

The third proportional to 394.88 and 548.65 is: 762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.88 : 548.65 = 548.65 : x
  2. Step 2: Convert to fraction form
    394.88/548.65 = 548.65/x
  3. Step 3: Cross multiply
    394.88x = 548.65 × 548.65
  4. Step 4: Simplify right side
    394.88x = 301,015.11
  5. Step 5: Solve for x
    x = 301,015.11/394.88
  6. Step 6: Final answer
    x = 762.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.