Finding the Third Proportional to 421,731,487,438 and 642,464,347,352
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Solution
The third proportional to 421,731,487,438 and 642,464,347,352 is: 978,728,053,069.82
Step by Step Solution
- Step 1: Write the proportion equation
421,731,487,438 : 642,464,347,352 = 642,464,347,352 : x - Step 2: Convert to fraction form
421,731,487,438/642,464,347,352 = 642,464,347,352/x - Step 3: Cross multiply
421,731,487,438x = 642,464,347,352 × 642,464,347,352 - Step 4: Simplify right side
421,731,487,438x = 412,760,437,618,431,313,838,080 - Step 5: Solve for x
x = 412,760,437,618,431,313,838,080/421,731,487,438 - Step 6: Final answer
x = 978,728,053,069.82
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.