Finding the Third Proportional to 405,380 and 635,909
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Solution
The third proportional to 405,380 and 635,909 is: 997,533.81
Step by Step Solution
- Step 1: Write the proportion equation
405,380 : 635,909 = 635,909 : x - Step 2: Convert to fraction form
405,380/635,909 = 635,909/x - Step 3: Cross multiply
405,380x = 635,909 × 635,909 - Step 4: Simplify right side
405,380x = 404,380,256,281 - Step 5: Solve for x
x = 404,380,256,281/405,380 - Step 6: Final answer
x = 997,533.81
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.