Finding the Third Proportional to 414 and 856.50
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Solution
The third proportional to 414 and 856.50 is: 1,771.96
Step by Step Solution
- Step 1: Write the proportion equation
414 : 856.50 = 856.50 : x - Step 2: Convert to fraction form
414/856.50 = 856.50/x - Step 3: Cross multiply
414x = 856.50 × 856.50 - Step 4: Simplify right side
414x = 733,592.25 - Step 5: Solve for x
x = 733,592.25/414 - Step 6: Final answer
x = 1,771.96
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.