Finding the Third Proportional to 411.50 and 947
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Solution
The third proportional to 411.50 and 947 is: 2,179.37
Step by Step Solution
- Step 1: Write the proportion equation
411.50 : 947 = 947 : x - Step 2: Convert to fraction form
411.50/947 = 947/x - Step 3: Cross multiply
411.50x = 947 × 947 - Step 4: Simplify right side
411.50x = 896,809 - Step 5: Solve for x
x = 896,809/411.50 - Step 6: Final answer
x = 2,179.37
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.