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Finding the Third Proportional to 399.75 and 571.25

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Solution

The third proportional to 399.75 and 571.25 is: 816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.75 : 571.25 = 571.25 : x
  2. Step 2: Convert to fraction form
    399.75/571.25 = 571.25/x
  3. Step 3: Cross multiply
    399.75x = 571.25 × 571.25
  4. Step 4: Simplify right side
    399.75x = 326,326.56
  5. Step 5: Solve for x
    x = 326,326.56/399.75
  6. Step 6: Final answer
    x = 816.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.