Finding the Third Proportional to 381,884 and 822,784
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Solution
The third proportional to 381,884 and 822,784 is: 1,772,720.28
Step by Step Solution
- Step 1: Write the proportion equation
381,884 : 822,784 = 822,784 : x - Step 2: Convert to fraction form
381,884/822,784 = 822,784/x - Step 3: Cross multiply
381,884x = 822,784 × 822,784 - Step 4: Simplify right side
381,884x = 676,973,510,656 - Step 5: Solve for x
x = 676,973,510,656/381,884 - Step 6: Final answer
x = 1,772,720.28
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.