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Finding the Third Proportional to 328.75 and 513.06

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Solution

The third proportional to 328.75 and 513.06 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.75 : 513.06 = 513.06 : x
  2. Step 2: Convert to fraction form
    328.75/513.06 = 513.06/x
  3. Step 3: Cross multiply
    328.75x = 513.06 × 513.06
  4. Step 4: Simplify right side
    328.75x = 263,233.13
  5. Step 5: Solve for x
    x = 263,233.13/328.75
  6. Step 6: Final answer
    x = 800.71

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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.