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Finding the Third Proportional to 328.78 and 513.84

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Solution

The third proportional to 328.78 and 513.84 is: 803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 513.84 = 513.84 : x
  2. Step 2: Convert to fraction form
    328.78/513.84 = 513.84/x
  3. Step 3: Cross multiply
    328.78x = 513.84 × 513.84
  4. Step 4: Simplify right side
    328.78x = 264,035.40
  5. Step 5: Solve for x
    x = 264,035.40/328.78
  6. Step 6: Final answer
    x = 803.07

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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.