Finding the Third Proportional to 303,966 and 470,710
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Solution
The third proportional to 303,966 and 470,710 is: 728,923.31
Step by Step Solution
- Step 1: Write the proportion equation
303,966 : 470,710 = 470,710 : x - Step 2: Convert to fraction form
303,966/470,710 = 470,710/x - Step 3: Cross multiply
303,966x = 470,710 × 470,710 - Step 4: Simplify right side
303,966x = 221,567,904,100 - Step 5: Solve for x
x = 221,567,904,100/303,966 - Step 6: Final answer
x = 728,923.31
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.