Finding the Third Proportional to 381,604.50 and 560,742.75
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Solution
The third proportional to 381,604.50 and 560,742.75 is: 823,974.64
Step by Step Solution
- Step 1: Write the proportion equation
381,604.50 : 560,742.75 = 560,742.75 : x - Step 2: Convert to fraction form
381,604.50/560,742.75 = 560,742.75/x - Step 3: Cross multiply
381,604.50x = 560,742.75 × 560,742.75 - Step 4: Simplify right side
381,604.50x = 314,432,431,677.56 - Step 5: Solve for x
x = 314,432,431,677.56/381,604.50 - Step 6: Final answer
x = 823,974.64
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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.