Finding the Third Proportional to 9,800 and 21,368
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Solution
The third proportional to 9,800 and 21,368 is: 46,590.96
Step by Step Solution
- Step 1: Write the proportion equation
9,800 : 21,368 = 21,368 : x - Step 2: Convert to fraction form
9,800/21,368 = 21,368/x - Step 3: Cross multiply
9,800x = 21,368 × 21,368 - Step 4: Simplify right side
9,800x = 456,591,424 - Step 5: Solve for x
x = 456,591,424/9,800 - Step 6: Final answer
x = 46,590.96
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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.