Finding the Third Proportional to 199,734 and 422,004
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Solution
The third proportional to 199,734 and 422,004 is: 891,622.74
Step by Step Solution
- Step 1: Write the proportion equation
199,734 : 422,004 = 422,004 : x - Step 2: Convert to fraction form
199,734/422,004 = 422,004/x - Step 3: Cross multiply
199,734x = 422,004 × 422,004 - Step 4: Simplify right side
199,734x = 178,087,376,016 - Step 5: Solve for x
x = 178,087,376,016/199,734 - Step 6: Final answer
x = 891,622.74
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.