Finding the Third Proportional to 419 and 449.50
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Solution
The third proportional to 419 and 449.50 is: 482.22
Step by Step Solution
- Step 1: Write the proportion equation
419 : 449.50 = 449.50 : x - Step 2: Convert to fraction form
419/449.50 = 449.50/x - Step 3: Cross multiply
419x = 449.50 × 449.50 - Step 4: Simplify right side
419x = 202,050.25 - Step 5: Solve for x
x = 202,050.25/419 - Step 6: Final answer
x = 482.22
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.