Finding the Third Proportional to 10,220 and 14,930
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Solution
The third proportional to 10,220 and 14,930 is: 21,810.66
Step by Step Solution
- Step 1: Write the proportion equation
10,220 : 14,930 = 14,930 : x - Step 2: Convert to fraction form
10,220/14,930 = 14,930/x - Step 3: Cross multiply
10,220x = 14,930 × 14,930 - Step 4: Simplify right side
10,220x = 222,904,900 - Step 5: Solve for x
x = 222,904,900/10,220 - Step 6: Final answer
x = 21,810.66
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.