Finding the Third Proportional to 492 and 1,227
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Solution
The third proportional to 492 and 1,227 is: 3,060.02
Step by Step Solution
- Step 1: Write the proportion equation
492 : 1,227 = 1,227 : x - Step 2: Convert to fraction form
492/1,227 = 1,227/x - Step 3: Cross multiply
492x = 1,227 × 1,227 - Step 4: Simplify right side
492x = 1,505,529 - Step 5: Solve for x
x = 1,505,529/492 - Step 6: Final answer
x = 3,060.02
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Why These Related Problems?
These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.