Finding the Third Proportional to 218,944 and 471,651
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Solution
The third proportional to 218,944 and 471,651 is: 1,016,034.54
Step by Step Solution
- Step 1: Write the proportion equation
218,944 : 471,651 = 471,651 : x - Step 2: Convert to fraction form
218,944/471,651 = 471,651/x - Step 3: Cross multiply
218,944x = 471,651 × 471,651 - Step 4: Simplify right side
218,944x = 222,454,665,801 - Step 5: Solve for x
x = 222,454,665,801/218,944 - Step 6: Final answer
x = 1,016,034.54
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.