Finding the Third Proportional to 273,519,425,448 and 594,123,680,286
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Solution
The third proportional to 273,519,425,448 and 594,123,680,286 is: 1,290,522,407,680.65
Step by Step Solution
- Step 1: Write the proportion equation
273,519,425,448 : 594,123,680,286 = 594,123,680,286 : x - Step 2: Convert to fraction form
273,519,425,448/594,123,680,286 = 594,123,680,286/x - Step 3: Cross multiply
273,519,425,448x = 594,123,680,286 × 594,123,680,286 - Step 4: Simplify right side
273,519,425,448x = 352,982,947,476,581,115,756,544 - Step 5: Solve for x
x = 352,982,947,476,581,115,756,544/273,519,425,448 - Step 6: Final answer
x = 1,290,522,407,680.65
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.