Finding the Third Proportional to 177 and 194.25
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Solution
The third proportional to 177 and 194.25 is: 213.18
Step by Step Solution
- Step 1: Write the proportion equation
177 : 194.25 = 194.25 : x - Step 2: Convert to fraction form
177/194.25 = 194.25/x - Step 3: Cross multiply
177x = 194.25 × 194.25 - Step 4: Simplify right side
177x = 37,733.06 - Step 5: Solve for x
x = 37,733.06/177 - Step 6: Final answer
x = 213.18
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.