Finding the Third Proportional to 382,142 and 809,800
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Solution
The third proportional to 382,142 and 809,800 is: 1,716,053.30
Step by Step Solution
- Step 1: Write the proportion equation
382,142 : 809,800 = 809,800 : x - Step 2: Convert to fraction form
382,142/809,800 = 809,800/x - Step 3: Cross multiply
382,142x = 809,800 × 809,800 - Step 4: Simplify right side
382,142x = 655,776,040,000 - Step 5: Solve for x
x = 655,776,040,000/382,142 - Step 6: Final answer
x = 1,716,053.30
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.