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Finding the Third Proportional to 328 and 439.75

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Solution

The third proportional to 328 and 439.75 is: 589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328 : 439.75 = 439.75 : x
  2. Step 2: Convert to fraction form
    328/439.75 = 439.75/x
  3. Step 3: Cross multiply
    328x = 439.75 × 439.75
  4. Step 4: Simplify right side
    328x = 193,380.06
  5. Step 5: Solve for x
    x = 193,380.06/328
  6. Step 6: Final answer
    x = 589.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.