Finding the Third Proportional to 359 and 649
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Solution
The third proportional to 359 and 649 is: 1,173.26
Step by Step Solution
- Step 1: Write the proportion equation
359 : 649 = 649 : x - Step 2: Convert to fraction form
359/649 = 649/x - Step 3: Cross multiply
359x = 649 × 649 - Step 4: Simplify right side
359x = 421,201 - Step 5: Solve for x
x = 421,201/359 - Step 6: Final answer
x = 1,173.26
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.