Finding the Third Proportional to 378,220 and 806,978
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Solution
The third proportional to 378,220 and 806,978 is: 1,721,784.92
Step by Step Solution
- Step 1: Write the proportion equation
378,220 : 806,978 = 806,978 : x - Step 2: Convert to fraction form
378,220/806,978 = 806,978/x - Step 3: Cross multiply
378,220x = 806,978 × 806,978 - Step 4: Simplify right side
378,220x = 651,213,492,484 - Step 5: Solve for x
x = 651,213,492,484/378,220 - Step 6: Final answer
x = 1,721,784.92
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.