Finding the Third Proportional to 290,824 and 434,499
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Solution
The third proportional to 290,824 and 434,499 is: 649,153.37
Step by Step Solution
- Step 1: Write the proportion equation
290,824 : 434,499 = 434,499 : x - Step 2: Convert to fraction form
290,824/434,499 = 434,499/x - Step 3: Cross multiply
290,824x = 434,499 × 434,499 - Step 4: Simplify right side
290,824x = 188,789,381,001 - Step 5: Solve for x
x = 188,789,381,001/290,824 - Step 6: Final answer
x = 649,153.37
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.