Finding the Third Proportional to 100,870 and 217,136
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Solution
The third proportional to 100,870 and 217,136 is: 467,413.92
Step by Step Solution
- Step 1: Write the proportion equation
100,870 : 217,136 = 217,136 : x - Step 2: Convert to fraction form
100,870/217,136 = 217,136/x - Step 3: Cross multiply
100,870x = 217,136 × 217,136 - Step 4: Simplify right side
100,870x = 47,148,042,496 - Step 5: Solve for x
x = 47,148,042,496/100,870 - Step 6: Final answer
x = 467,413.92
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.