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Finding the Third Proportional to 265.97 and 399.33

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Solution

The third proportional to 265.97 and 399.33 is: 599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 399.33 = 399.33 : x
  2. Step 2: Convert to fraction form
    265.97/399.33 = 399.33/x
  3. Step 3: Cross multiply
    265.97x = 399.33 × 399.33
  4. Step 4: Simplify right side
    265.97x = 159,462.95
  5. Step 5: Solve for x
    x = 159,462.95/265.97
  6. Step 6: Final answer
    x = 599.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.