Finding the Third Proportional to 258,408,496 and 397,192,542
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Solution
The third proportional to 258,408,496 and 397,192,542 is: 610,513,655.17
Step by Step Solution
- Step 1: Write the proportion equation
258,408,496 : 397,192,542 = 397,192,542 : x - Step 2: Convert to fraction form
258,408,496/397,192,542 = 397,192,542/x - Step 3: Cross multiply
258,408,496x = 397,192,542 × 397,192,542 - Step 4: Simplify right side
258,408,496x = 157,761,915,420,421,760 - Step 5: Solve for x
x = 157,761,915,420,421,760/258,408,496 - Step 6: Final answer
x = 610,513,655.17
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.