Finding the Third Proportional to 405,319,512 and 821,917,578
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Solution
The third proportional to 405,319,512 and 821,917,578 is: 1,666,706,104.75
Step by Step Solution
- Step 1: Write the proportion equation
405,319,512 : 821,917,578 = 821,917,578 : x - Step 2: Convert to fraction form
405,319,512/821,917,578 = 821,917,578/x - Step 3: Cross multiply
405,319,512x = 821,917,578 × 821,917,578 - Step 4: Simplify right side
405,319,512x = 675,548,505,025,386,112 - Step 5: Solve for x
x = 675,548,505,025,386,112/405,319,512 - Step 6: Final answer
x = 1,666,706,104.75
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.