Finding the Third Proportional to 398,930 and 853,897
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Solution
The third proportional to 398,930 and 853,897 is: 1,827,739.42
Step by Step Solution
- Step 1: Write the proportion equation
398,930 : 853,897 = 853,897 : x - Step 2: Convert to fraction form
398,930/853,897 = 853,897/x - Step 3: Cross multiply
398,930x = 853,897 × 853,897 - Step 4: Simplify right side
398,930x = 729,140,086,609 - Step 5: Solve for x
x = 729,140,086,609/398,930 - Step 6: Final answer
x = 1,827,739.42
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.