Finding the Third Proportional to 9,750 and 21,282
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Solution
The third proportional to 9,750 and 21,282 is: 46,453.69
Step by Step Solution
- Step 1: Write the proportion equation
9,750 : 21,282 = 21,282 : x - Step 2: Convert to fraction form
9,750/21,282 = 21,282/x - Step 3: Cross multiply
9,750x = 21,282 × 21,282 - Step 4: Simplify right side
9,750x = 452,923,524 - Step 5: Solve for x
x = 452,923,524/9,750 - Step 6: Final answer
x = 46,453.69
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.