Finding the Third Proportional to 356 and 414
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Solution
The third proportional to 356 and 414 is: 481.45
Step by Step Solution
- Step 1: Write the proportion equation
356 : 414 = 414 : x - Step 2: Convert to fraction form
356/414 = 414/x - Step 3: Cross multiply
356x = 414 × 414 - Step 4: Simplify right side
356x = 171,396 - Step 5: Solve for x
x = 171,396/356 - Step 6: Final answer
x = 481.45
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.