Finding the Third Proportional to 378,880 and 829,112
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Solution
The third proportional to 378,880 and 829,112 is: 1,814,365.26
Step by Step Solution
- Step 1: Write the proportion equation
378,880 : 829,112 = 829,112 : x - Step 2: Convert to fraction form
378,880/829,112 = 829,112/x - Step 3: Cross multiply
378,880x = 829,112 × 829,112 - Step 4: Simplify right side
378,880x = 687,426,708,544 - Step 5: Solve for x
x = 687,426,708,544/378,880 - Step 6: Final answer
x = 1,814,365.26
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.