Finding the Third Proportional to 6.75 and 49.50
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Solution
The third proportional to 6.75 and 49.50 is: 363
Step by Step Solution
- Step 1: Write the proportion equation
6.75 : 49.50 = 49.50 : x - Step 2: Convert to fraction form
6.75/49.50 = 49.50/x - Step 3: Cross multiply
6.75x = 49.50 × 49.50 - Step 4: Simplify right side
6.75x = 2,450.25 - Step 5: Solve for x
x = 2,450.25/6.75 - Step 6: Final answer
x = 363
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Why These Related Problems?
These problems maintain the same ratio (7.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.