Finding the Third Proportional to 159,420,405,388 and 351,335,767,438
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Solution
The third proportional to 159,420,405,388 and 351,335,767,438 is: 774,284,955,434.82
Step by Step Solution
- Step 1: Write the proportion equation
159,420,405,388 : 351,335,767,438 = 351,335,767,438 : x - Step 2: Convert to fraction form
159,420,405,388/351,335,767,438 = 351,335,767,438/x - Step 3: Cross multiply
159,420,405,388x = 351,335,767,438 × 351,335,767,438 - Step 4: Simplify right side
159,420,405,388x = 123,436,821,481,248,421,576,704 - Step 5: Solve for x
x = 123,436,821,481,248,421,576,704/159,420,405,388 - Step 6: Final answer
x = 774,284,955,434.82
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.