Finding the Third Proportional to 278,324 and 416,751
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Solution
The third proportional to 278,324 and 416,751 is: 624,025.94
Step by Step Solution
- Step 1: Write the proportion equation
278,324 : 416,751 = 416,751 : x - Step 2: Convert to fraction form
278,324/416,751 = 416,751/x - Step 3: Cross multiply
278,324x = 416,751 × 416,751 - Step 4: Simplify right side
278,324x = 173,681,396,001 - Step 5: Solve for x
x = 173,681,396,001/278,324 - Step 6: Final answer
x = 624,025.94
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.