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Finding the Third Proportional to 328.31 and 502.97

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Solution

The third proportional to 328.31 and 502.97 is: 770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.31 : 502.97 = 502.97 : x
  2. Step 2: Convert to fraction form
    328.31/502.97 = 502.97/x
  3. Step 3: Cross multiply
    328.31x = 502.97 × 502.97
  4. Step 4: Simplify right side
    328.31x = 252,977.56
  5. Step 5: Solve for x
    x = 252,977.56/328.31
  6. Step 6: Final answer
    x = 770.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.