Finding the Third Proportional to 30,786 and 41,790
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Solution
The third proportional to 30,786 and 41,790 is: 56,727.22
Step by Step Solution
- Step 1: Write the proportion equation
30,786 : 41,790 = 41,790 : x - Step 2: Convert to fraction form
30,786/41,790 = 41,790/x - Step 3: Cross multiply
30,786x = 41,790 × 41,790 - Step 4: Simplify right side
30,786x = 1,746,404,100 - Step 5: Solve for x
x = 1,746,404,100/30,786 - Step 6: Final answer
x = 56,727.22
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.