Finding the Third Proportional to 218 and 389
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Solution
The third proportional to 218 and 389 is: 694.13
Step by Step Solution
- Step 1: Write the proportion equation
218 : 389 = 389 : x - Step 2: Convert to fraction form
218/389 = 389/x - Step 3: Cross multiply
218x = 389 × 389 - Step 4: Simplify right side
218x = 151,321 - Step 5: Solve for x
x = 151,321/218 - Step 6: Final answer
x = 694.13
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.