Finding the Third Proportional to 282,415.50 and 440,295.75
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Solution
The third proportional to 282,415.50 and 440,295.75 is: 686,436.64
Step by Step Solution
- Step 1: Write the proportion equation
282,415.50 : 440,295.75 = 440,295.75 : x - Step 2: Convert to fraction form
282,415.50/440,295.75 = 440,295.75/x - Step 3: Cross multiply
282,415.50x = 440,295.75 × 440,295.75 - Step 4: Simplify right side
282,415.50x = 193,860,347,468.06 - Step 5: Solve for x
x = 193,860,347,468.06/282,415.50 - Step 6: Final answer
x = 686,436.64
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.