Finding the Third Proportional to 258,408,640.13 and 397,192,789.69
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Solution
The third proportional to 258,408,640.13 and 397,192,789.69 is: 610,514,076.09
Step by Step Solution
- Step 1: Write the proportion equation
258,408,640.13 : 397,192,789.69 = 397,192,789.69 : x - Step 2: Convert to fraction form
258,408,640.13/397,192,789.69 = 397,192,789.69/x - Step 3: Cross multiply
258,408,640.13x = 397,192,789.69 × 397,192,789.69 - Step 4: Simplify right side
258,408,640.13x = 157,762,112,179,738,592 - Step 5: Solve for x
x = 157,762,112,179,738,592/258,408,640.13 - Step 6: Final answer
x = 610,514,076.09
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.