Finding the Third Proportional to 199,284,660.75 and 280,514,427.19
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Solution
The third proportional to 199,284,660.75 and 280,514,427.19 is: 394,853,992.09
Step by Step Solution
- Step 1: Write the proportion equation
199,284,660.75 : 280,514,427.19 = 280,514,427.19 : x - Step 2: Convert to fraction form
199,284,660.75/280,514,427.19 = 280,514,427.19/x - Step 3: Cross multiply
199,284,660.75x = 280,514,427.19 × 280,514,427.19 - Step 4: Simplify right side
199,284,660.75x = 78,688,343,860,331,232 - Step 5: Solve for x
x = 78,688,343,860,331,232/199,284,660.75 - Step 6: Final answer
x = 394,853,992.09
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.