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Finding the Third Proportional to 250.95 and 399.23

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Solution

The third proportional to 250.95 and 399.23 is: 635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.95 : 399.23 = 399.23 : x
  2. Step 2: Convert to fraction form
    250.95/399.23 = 399.23/x
  3. Step 3: Cross multiply
    250.95x = 399.23 × 399.23
  4. Step 4: Simplify right side
    250.95x = 159,388.09
  5. Step 5: Solve for x
    x = 159,388.09/250.95
  6. Step 6: Final answer
    x = 635.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.