Finding the Third Proportional to 177.75 and 272.25
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Solution
The third proportional to 177.75 and 272.25 is: 416.99
Step by Step Solution
- Step 1: Write the proportion equation
177.75 : 272.25 = 272.25 : x - Step 2: Convert to fraction form
177.75/272.25 = 272.25/x - Step 3: Cross multiply
177.75x = 272.25 × 272.25 - Step 4: Simplify right side
177.75x = 74,120.06 - Step 5: Solve for x
x = 74,120.06/177.75 - Step 6: Final answer
x = 416.99
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.