Finding the Third Proportional to 263,694 and 419,253
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Solution
The third proportional to 263,694 and 419,253 is: 666,579.74
Step by Step Solution
- Step 1: Write the proportion equation
263,694 : 419,253 = 419,253 : x - Step 2: Convert to fraction form
263,694/419,253 = 419,253/x - Step 3: Cross multiply
263,694x = 419,253 × 419,253 - Step 4: Simplify right side
263,694x = 175,773,078,009 - Step 5: Solve for x
x = 175,773,078,009/263,694 - Step 6: Final answer
x = 666,579.74
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.