Finding the Third Proportional to 311,020,769 and 668,197,873
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Solution
The third proportional to 311,020,769 and 668,197,873 is: 1,435,558,142.68
Step by Step Solution
- Step 1: Write the proportion equation
311,020,769 : 668,197,873 = 668,197,873 : x - Step 2: Convert to fraction form
311,020,769/668,197,873 = 668,197,873/x - Step 3: Cross multiply
311,020,769x = 668,197,873 × 668,197,873 - Step 4: Simplify right side
311,020,769x = 446,488,397,481,724,160 - Step 5: Solve for x
x = 446,488,397,481,724,160/311,020,769 - Step 6: Final answer
x = 1,435,558,142.68
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.