Finding the Third Proportional to 290,557,034,740 and 408,990,034,014
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Solution
The third proportional to 290,557,034,740 and 408,990,034,014 is: 575,697,119,405.33
Step by Step Solution
- Step 1: Write the proportion equation
290,557,034,740 : 408,990,034,014 = 408,990,034,014 : x - Step 2: Convert to fraction form
290,557,034,740/408,990,034,014 = 408,990,034,014/x - Step 3: Cross multiply
290,557,034,740x = 408,990,034,014 × 408,990,034,014 - Step 4: Simplify right side
290,557,034,740x = 167,272,847,922,772,861,517,824 - Step 5: Solve for x
x = 167,272,847,922,772,861,517,824/290,557,034,740 - Step 6: Final answer
x = 575,697,119,405.33
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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.