Finding the Third Proportional to 505,280 and 743,144
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Solution
The third proportional to 505,280 and 743,144 is: 1,092,984.10
Step by Step Solution
- Step 1: Write the proportion equation
505,280 : 743,144 = 743,144 : x - Step 2: Convert to fraction form
505,280/743,144 = 743,144/x - Step 3: Cross multiply
505,280x = 743,144 × 743,144 - Step 4: Simplify right side
505,280x = 552,263,004,736 - Step 5: Solve for x
x = 552,263,004,736/505,280 - Step 6: Final answer
x = 1,092,984.10
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.