Finding the Third Proportional to 199,324 and 422,948
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Solution
The third proportional to 199,324 and 422,948 is: 897,458.46
Step by Step Solution
- Step 1: Write the proportion equation
199,324 : 422,948 = 422,948 : x - Step 2: Convert to fraction form
199,324/422,948 = 422,948/x - Step 3: Cross multiply
199,324x = 422,948 × 422,948 - Step 4: Simplify right side
199,324x = 178,885,010,704 - Step 5: Solve for x
x = 178,885,010,704/199,324 - Step 6: Final answer
x = 897,458.46
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.