Finding the Third Proportional to 204,886 and 417,903
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Solution
The third proportional to 204,886 and 417,903 is: 852,390.68
Step by Step Solution
- Step 1: Write the proportion equation
204,886 : 417,903 = 417,903 : x - Step 2: Convert to fraction form
204,886/417,903 = 417,903/x - Step 3: Cross multiply
204,886x = 417,903 × 417,903 - Step 4: Simplify right side
204,886x = 174,642,917,409 - Step 5: Solve for x
x = 174,642,917,409/204,886 - Step 6: Final answer
x = 852,390.68
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.