Finding the Third Proportional to 143,150,745,433 and 311,434,488,988
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Solution
The third proportional to 143,150,745,433 and 311,434,488,988 is: 677,547,578,518.29
Step by Step Solution
- Step 1: Write the proportion equation
143,150,745,433 : 311,434,488,988 = 311,434,488,988 : x - Step 2: Convert to fraction form
143,150,745,433/311,434,488,988 = 311,434,488,988/x - Step 3: Cross multiply
143,150,745,433x = 311,434,488,988 × 311,434,488,988 - Step 4: Simplify right side
143,150,745,433x = 96,991,440,931,216,685,006,848 - Step 5: Solve for x
x = 96,991,440,931,216,685,006,848/143,150,745,433 - Step 6: Final answer
x = 677,547,578,518.29
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.