Finding the Third Proportional to 193,680 and 457,938
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Solution
The third proportional to 193,680 and 457,938 is: 1,082,750.99
Step by Step Solution
- Step 1: Write the proportion equation
193,680 : 457,938 = 457,938 : x - Step 2: Convert to fraction form
193,680/457,938 = 457,938/x - Step 3: Cross multiply
193,680x = 457,938 × 457,938 - Step 4: Simplify right side
193,680x = 209,707,211,844 - Step 5: Solve for x
x = 209,707,211,844/193,680 - Step 6: Final answer
x = 1,082,750.99
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.