Finding the Third Proportional to 208,467 and 406,566
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Solution
The third proportional to 208,467 and 406,566 is: 792,911.65
Step by Step Solution
- Step 1: Write the proportion equation
208,467 : 406,566 = 406,566 : x - Step 2: Convert to fraction form
208,467/406,566 = 406,566/x - Step 3: Cross multiply
208,467x = 406,566 × 406,566 - Step 4: Simplify right side
208,467x = 165,295,912,356 - Step 5: Solve for x
x = 165,295,912,356/208,467 - Step 6: Final answer
x = 792,911.65
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.