Finding the Third Proportional to 161,624 and 343,984
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Solution
The third proportional to 161,624 and 343,984 is: 732,100.38
Step by Step Solution
- Step 1: Write the proportion equation
161,624 : 343,984 = 343,984 : x - Step 2: Convert to fraction form
161,624/343,984 = 343,984/x - Step 3: Cross multiply
161,624x = 343,984 × 343,984 - Step 4: Simplify right side
161,624x = 118,324,992,256 - Step 5: Solve for x
x = 118,324,992,256/161,624 - Step 6: Final answer
x = 732,100.38
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.