Finding the Third Proportional to 102,243.94 and 209,445.75
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Solution
The third proportional to 102,243.94 and 209,445.75 is: 429,047.66
Step by Step Solution
- Step 1: Write the proportion equation
102,243.94 : 209,445.75 = 209,445.75 : x - Step 2: Convert to fraction form
102,243.94/209,445.75 = 209,445.75/x - Step 3: Cross multiply
102,243.94x = 209,445.75 × 209,445.75 - Step 4: Simplify right side
102,243.94x = 43,867,522,193.06 - Step 5: Solve for x
x = 43,867,522,193.06/102,243.94 - Step 6: Final answer
x = 429,047.66
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.