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Finding the Third Proportional to 328.75 and 511.79

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Solution

The third proportional to 328.75 and 511.79 is: 796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.75 : 511.79 = 511.79 : x
  2. Step 2: Convert to fraction form
    328.75/511.79 = 511.79/x
  3. Step 3: Cross multiply
    328.75x = 511.79 × 511.79
  4. Step 4: Simplify right side
    328.75x = 261,926.05
  5. Step 5: Solve for x
    x = 261,926.05/328.75
  6. Step 6: Final answer
    x = 796.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.