Finding the Third Proportional to 547 and 649
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Solution
The third proportional to 547 and 649 is: 770.02
Step by Step Solution
- Step 1: Write the proportion equation
547 : 649 = 649 : x - Step 2: Convert to fraction form
547/649 = 649/x - Step 3: Cross multiply
547x = 649 × 649 - Step 4: Simplify right side
547x = 421,201 - Step 5: Solve for x
x = 421,201/547 - Step 6: Final answer
x = 770.02
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.