Finding the Third Proportional to 354 and 494
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Solution
The third proportional to 354 and 494 is: 689.37
Step by Step Solution
- Step 1: Write the proportion equation
354 : 494 = 494 : x - Step 2: Convert to fraction form
354/494 = 494/x - Step 3: Cross multiply
354x = 494 × 494 - Step 4: Simplify right side
354x = 244,036 - Step 5: Solve for x
x = 244,036/354 - Step 6: Final answer
x = 689.37
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.