Finding the Third Proportional to 205,328 and 445,728
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Solution
The third proportional to 205,328 and 445,728 is: 967,590.64
Step by Step Solution
- Step 1: Write the proportion equation
205,328 : 445,728 = 445,728 : x - Step 2: Convert to fraction form
205,328/445,728 = 445,728/x - Step 3: Cross multiply
205,328x = 445,728 × 445,728 - Step 4: Simplify right side
205,328x = 198,673,449,984 - Step 5: Solve for x
x = 198,673,449,984/205,328 - Step 6: Final answer
x = 967,590.64
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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.