Finding the Third Proportional to 305 and 324.50
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Solution
The third proportional to 305 and 324.50 is: 345.25
Step by Step Solution
- Step 1: Write the proportion equation
305 : 324.50 = 324.50 : x - Step 2: Convert to fraction form
305/324.50 = 324.50/x - Step 3: Cross multiply
305x = 324.50 × 324.50 - Step 4: Simplify right side
305x = 105,300.25 - Step 5: Solve for x
x = 105,300.25/305 - Step 6: Final answer
x = 345.25
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.