Finding the Third Proportional to 9,782 and 21,441
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Solution
The third proportional to 9,782 and 21,441 is: 46,996.16
Step by Step Solution
- Step 1: Write the proportion equation
9,782 : 21,441 = 21,441 : x - Step 2: Convert to fraction form
9,782/21,441 = 21,441/x - Step 3: Cross multiply
9,782x = 21,441 × 21,441 - Step 4: Simplify right side
9,782x = 459,716,481 - Step 5: Solve for x
x = 459,716,481/9,782 - Step 6: Final answer
x = 46,996.16
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.