Finding the Third Proportional to 45,886 and 70,145
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Solution
The third proportional to 45,886 and 70,145 is: 107,229.24
Step by Step Solution
- Step 1: Write the proportion equation
45,886 : 70,145 = 70,145 : x - Step 2: Convert to fraction form
45,886/70,145 = 70,145/x - Step 3: Cross multiply
45,886x = 70,145 × 70,145 - Step 4: Simplify right side
45,886x = 4,920,321,025 - Step 5: Solve for x
x = 4,920,321,025/45,886 - Step 6: Final answer
x = 107,229.24
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.