Finding the Third Proportional to 122,268.75 and 257,809.50
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Solution
The third proportional to 122,268.75 and 257,809.50 is: 543,603.65
Step by Step Solution
- Step 1: Write the proportion equation
122,268.75 : 257,809.50 = 257,809.50 : x - Step 2: Convert to fraction form
122,268.75/257,809.50 = 257,809.50/x - Step 3: Cross multiply
122,268.75x = 257,809.50 × 257,809.50 - Step 4: Simplify right side
122,268.75x = 66,465,738,290.25 - Step 5: Solve for x
x = 66,465,738,290.25/122,268.75 - Step 6: Final answer
x = 543,603.65
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.