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Finding the Third Proportional to 270.50 and 408.50

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Solution

The third proportional to 270.50 and 408.50 is: 616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.50 : 408.50 = 408.50 : x
  2. Step 2: Convert to fraction form
    270.50/408.50 = 408.50/x
  3. Step 3: Cross multiply
    270.50x = 408.50 × 408.50
  4. Step 4: Simplify right side
    270.50x = 166,872.25
  5. Step 5: Solve for x
    x = 166,872.25/270.50
  6. Step 6: Final answer
    x = 616.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.