Finding the Third Proportional to 218 and 421.50
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Solution
The third proportional to 218 and 421.50 is: 814.96
Step by Step Solution
- Step 1: Write the proportion equation
218 : 421.50 = 421.50 : x - Step 2: Convert to fraction form
218/421.50 = 421.50/x - Step 3: Cross multiply
218x = 421.50 × 421.50 - Step 4: Simplify right side
218x = 177,662.25 - Step 5: Solve for x
x = 177,662.25/218 - Step 6: Final answer
x = 814.96
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.