Finding the Third Proportional to 200 and 225.50
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Solution
The third proportional to 200 and 225.50 is: 254.25
Step by Step Solution
- Step 1: Write the proportion equation
200 : 225.50 = 225.50 : x - Step 2: Convert to fraction form
200/225.50 = 225.50/x - Step 3: Cross multiply
200x = 225.50 × 225.50 - Step 4: Simplify right side
200x = 50,850.25 - Step 5: Solve for x
x = 50,850.25/200 - Step 6: Final answer
x = 254.25
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.