Finding the Third Proportional to 150,300,192 and 320,283,384
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Solution
The third proportional to 150,300,192 and 320,283,384 is: 682,510,412.67
Step by Step Solution
- Step 1: Write the proportion equation
150,300,192 : 320,283,384 = 320,283,384 : x - Step 2: Convert to fraction form
150,300,192/320,283,384 = 320,283,384/x - Step 3: Cross multiply
150,300,192x = 320,283,384 × 320,283,384 - Step 4: Simplify right side
150,300,192x = 102,581,446,066,491,456 - Step 5: Solve for x
x = 102,581,446,066,491,456/150,300,192 - Step 6: Final answer
x = 682,510,412.67
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.