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Finding the Third Proportional to 411.33 and 571.36

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Solution

The third proportional to 411.33 and 571.36 is: 793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.33 : 571.36 = 571.36 : x
  2. Step 2: Convert to fraction form
    411.33/571.36 = 571.36/x
  3. Step 3: Cross multiply
    411.33x = 571.36 × 571.36
  4. Step 4: Simplify right side
    411.33x = 326,451.54
  5. Step 5: Solve for x
    x = 326,451.54/411.33
  6. Step 6: Final answer
    x = 793.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.