Finding the Third Proportional to 728,236 and 1,491,464
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Solution
The third proportional to 728,236 and 1,491,464 is: 3,054,593.38
Step by Step Solution
- Step 1: Write the proportion equation
728,236 : 1,491,464 = 1,491,464 : x - Step 2: Convert to fraction form
728,236/1,491,464 = 1,491,464/x - Step 3: Cross multiply
728,236x = 1,491,464 × 1,491,464 - Step 4: Simplify right side
728,236x = 2,224,464,863,296 - Step 5: Solve for x
x = 2,224,464,863,296/728,236 - Step 6: Final answer
x = 3,054,593.38
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.