Finding the Third Proportional to 21,700 and 32,550
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Solution
The third proportional to 21,700 and 32,550 is: 48,825
Step by Step Solution
- Step 1: Write the proportion equation
21,700 : 32,550 = 32,550 : x - Step 2: Convert to fraction form
21,700/32,550 = 32,550/x - Step 3: Cross multiply
21,700x = 32,550 × 32,550 - Step 4: Simplify right side
21,700x = 1,059,502,500 - Step 5: Solve for x
x = 1,059,502,500/21,700 - Step 6: Final answer
x = 48,825
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.