Finding the Third Proportional to 30.25 and 77
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Solution
The third proportional to 30.25 and 77 is: 196
Step by Step Solution
- Step 1: Write the proportion equation
30.25 : 77 = 77 : x - Step 2: Convert to fraction form
30.25/77 = 77/x - Step 3: Cross multiply
30.25x = 77 × 77 - Step 4: Simplify right side
30.25x = 5,929 - Step 5: Solve for x
x = 5,929/30.25 - Step 6: Final answer
x = 196
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Why These Related Problems?
These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.