Finding the Third Proportional to 231.75 and 416.25
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Solution
The third proportional to 231.75 and 416.25 is: 747.63
Step by Step Solution
- Step 1: Write the proportion equation
231.75 : 416.25 = 416.25 : x - Step 2: Convert to fraction form
231.75/416.25 = 416.25/x - Step 3: Cross multiply
231.75x = 416.25 × 416.25 - Step 4: Simplify right side
231.75x = 173,264.06 - Step 5: Solve for x
x = 173,264.06/231.75 - Step 6: Final answer
x = 747.63
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.