Finding the Third Proportional to 77 and 195
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Solution
The third proportional to 77 and 195 is: 493.83
Step by Step Solution
- Step 1: Write the proportion equation
77 : 195 = 195 : x - Step 2: Convert to fraction form
77/195 = 195/x - Step 3: Cross multiply
77x = 195 × 195 - Step 4: Simplify right side
77x = 38,025 - Step 5: Solve for x
x = 38,025/77 - Step 6: Final answer
x = 493.83
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Why These Related Problems?
These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.