Finding the Third Proportional to 414 and 705
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Solution
The third proportional to 414 and 705 is: 1,200.54
Step by Step Solution
- Step 1: Write the proportion equation
414 : 705 = 705 : x - Step 2: Convert to fraction form
414/705 = 705/x - Step 3: Cross multiply
414x = 705 × 705 - Step 4: Simplify right side
414x = 497,025 - Step 5: Solve for x
x = 497,025/414 - Step 6: Final answer
x = 1,200.54
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Why These Related Problems?
These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.