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Finding the Third Proportional to 399.09 and 513.42

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Solution

The third proportional to 399.09 and 513.42 is: 660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 513.42 = 513.42 : x
  2. Step 2: Convert to fraction form
    399.09/513.42 = 513.42/x
  3. Step 3: Cross multiply
    399.09x = 513.42 × 513.42
  4. Step 4: Simplify right side
    399.09x = 263,602.02
  5. Step 5: Solve for x
    x = 263,602.02/399.09
  6. Step 6: Final answer
    x = 660.50

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.