Finding the Third Proportional to 50 and 54.25
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Solution
The third proportional to 50 and 54.25 is: 58.86
Step by Step Solution
- Step 1: Write the proportion equation
50 : 54.25 = 54.25 : x - Step 2: Convert to fraction form
50/54.25 = 54.25/x - Step 3: Cross multiply
50x = 54.25 × 54.25 - Step 4: Simplify right side
50x = 2,943.06 - Step 5: Solve for x
x = 2,943.06/50 - Step 6: Final answer
x = 58.86
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.