Finding the Third Proportional to 30,895 and 67,804
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Solution
The third proportional to 30,895 and 67,804 is: 148,806.68
Step by Step Solution
- Step 1: Write the proportion equation
30,895 : 67,804 = 67,804 : x - Step 2: Convert to fraction form
30,895/67,804 = 67,804/x - Step 3: Cross multiply
30,895x = 67,804 × 67,804 - Step 4: Simplify right side
30,895x = 4,597,382,416 - Step 5: Solve for x
x = 4,597,382,416/30,895 - Step 6: Final answer
x = 148,806.68
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.