Finding the Third Proportional to 419,872,448 and 916,153,824
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Solution
The third proportional to 419,872,448 and 916,153,824 is: 1,999,030,498.97
Step by Step Solution
- Step 1: Write the proportion equation
419,872,448 : 916,153,824 = 916,153,824 : x - Step 2: Convert to fraction form
419,872,448/916,153,824 = 916,153,824/x - Step 3: Cross multiply
419,872,448x = 916,153,824 × 916,153,824 - Step 4: Simplify right side
419,872,448x = 839,337,829,229,822,976 - Step 5: Solve for x
x = 839,337,829,229,822,976/419,872,448 - Step 6: Final answer
x = 1,999,030,498.97
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.