Finding the Third Proportional to 405,531,915 and 832,562,296
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Solution
The third proportional to 405,531,915 and 832,562,296 is: 1,709,261,222.32
Step by Step Solution
- Step 1: Write the proportion equation
405,531,915 : 832,562,296 = 832,562,296 : x - Step 2: Convert to fraction form
405,531,915/832,562,296 = 832,562,296/x - Step 3: Cross multiply
405,531,915x = 832,562,296 × 832,562,296 - Step 4: Simplify right side
405,531,915x = 693,159,976,720,791,552 - Step 5: Solve for x
x = 693,159,976,720,791,552/405,531,915 - Step 6: Final answer
x = 1,709,261,222.32
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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.