Finding the Third Proportional to 31,172 and 43,846
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Solution
The third proportional to 31,172 and 43,846 is: 61,673.03
Step by Step Solution
- Step 1: Write the proportion equation
31,172 : 43,846 = 43,846 : x - Step 2: Convert to fraction form
31,172/43,846 = 43,846/x - Step 3: Cross multiply
31,172x = 43,846 × 43,846 - Step 4: Simplify right side
31,172x = 1,922,471,716 - Step 5: Solve for x
x = 1,922,471,716/31,172 - Step 6: Final answer
x = 61,673.03
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.