Finding the Third Proportional to 381,608 and 560,748
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Solution
The third proportional to 381,608 and 560,748 is: 823,982.51
Step by Step Solution
- Step 1: Write the proportion equation
381,608 : 560,748 = 560,748 : x - Step 2: Convert to fraction form
381,608/560,748 = 560,748/x - Step 3: Cross multiply
381,608x = 560,748 × 560,748 - Step 4: Simplify right side
381,608x = 314,438,319,504 - Step 5: Solve for x
x = 314,438,319,504/381,608 - Step 6: Final answer
x = 823,982.51
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.