Finding the Third Proportional to 105,570 and 227,790
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Solution
The third proportional to 105,570 and 227,790 is: 491,505.96
Step by Step Solution
- Step 1: Write the proportion equation
105,570 : 227,790 = 227,790 : x - Step 2: Convert to fraction form
105,570/227,790 = 227,790/x - Step 3: Cross multiply
105,570x = 227,790 × 227,790 - Step 4: Simplify right side
105,570x = 51,888,284,100 - Step 5: Solve for x
x = 51,888,284,100/105,570 - Step 6: Final answer
x = 491,505.96
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.