Finding the Third Proportional to 409,839.75 and 641,543.63
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Solution
The third proportional to 409,839.75 and 641,543.63 is: 1,004,241.84
Step by Step Solution
- Step 1: Write the proportion equation
409,839.75 : 641,543.63 = 641,543.63 : x - Step 2: Convert to fraction form
409,839.75/641,543.63 = 641,543.63/x - Step 3: Cross multiply
409,839.75x = 641,543.63 × 641,543.63 - Step 4: Simplify right side
409,839.75x = 411,578,222,778.14 - Step 5: Solve for x
x = 411,578,222,778.14/409,839.75 - Step 6: Final answer
x = 1,004,241.84
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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.