Finding the Third Proportional to 381,582 and 828,776
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Solution
The third proportional to 381,582 and 828,776 is: 1,800,057.81
Step by Step Solution
- Step 1: Write the proportion equation
381,582 : 828,776 = 828,776 : x - Step 2: Convert to fraction form
381,582/828,776 = 828,776/x - Step 3: Cross multiply
381,582x = 828,776 × 828,776 - Step 4: Simplify right side
381,582x = 686,869,658,176 - Step 5: Solve for x
x = 686,869,658,176/381,582 - Step 6: Final answer
x = 1,800,057.81
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.