Finding the Third Proportional to 76 and 146.25
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Solution
The third proportional to 76 and 146.25 is: 281.44
Step by Step Solution
- Step 1: Write the proportion equation
76 : 146.25 = 146.25 : x - Step 2: Convert to fraction form
76/146.25 = 146.25/x - Step 3: Cross multiply
76x = 146.25 × 146.25 - Step 4: Simplify right side
76x = 21,389.06 - Step 5: Solve for x
x = 21,389.06/76 - Step 6: Final answer
x = 281.44
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.