Finding the Third Proportional to 157,824 and 339,072
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Solution
The third proportional to 157,824 and 339,072 is: 728,468.55
Step by Step Solution
- Step 1: Write the proportion equation
157,824 : 339,072 = 339,072 : x - Step 2: Convert to fraction form
157,824/339,072 = 339,072/x - Step 3: Cross multiply
157,824x = 339,072 × 339,072 - Step 4: Simplify right side
157,824x = 114,969,821,184 - Step 5: Solve for x
x = 114,969,821,184/157,824 - Step 6: Final answer
x = 728,468.55
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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.