Finding the Third Proportional to 189,207,240 and 407,947,728
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Solution
The third proportional to 189,207,240 and 407,947,728 is: 879,571,779.50
Step by Step Solution
- Step 1: Write the proportion equation
189,207,240 : 407,947,728 = 407,947,728 : x - Step 2: Convert to fraction form
189,207,240/407,947,728 = 407,947,728/x - Step 3: Cross multiply
189,207,240x = 407,947,728 × 407,947,728 - Step 4: Simplify right side
189,207,240x = 166,421,348,780,361,984 - Step 5: Solve for x
x = 166,421,348,780,361,984/189,207,240 - Step 6: Final answer
x = 879,571,779.50
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.