Finding the Third Proportional to 381,476 and 828,496
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Solution
The third proportional to 381,476 and 828,496 is: 1,799,341.56
Step by Step Solution
- Step 1: Write the proportion equation
381,476 : 828,496 = 828,496 : x - Step 2: Convert to fraction form
381,476/828,496 = 828,496/x - Step 3: Cross multiply
381,476x = 828,496 × 828,496 - Step 4: Simplify right side
381,476x = 686,405,622,016 - Step 5: Solve for x
x = 686,405,622,016/381,476 - Step 6: Final answer
x = 1,799,341.56
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.