Finding the Third Proportional to 409,173,424 and 876,386,912
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Solution
The third proportional to 409,173,424 and 876,386,912 is: 1,877,086,766.82
Step by Step Solution
- Step 1: Write the proportion equation
409,173,424 : 876,386,912 = 876,386,912 : x - Step 2: Convert to fraction form
409,173,424/876,386,912 = 876,386,912/x - Step 3: Cross multiply
409,173,424x = 876,386,912 × 876,386,912 - Step 4: Simplify right side
409,173,424x = 768,054,019,524,895,744 - Step 5: Solve for x
x = 768,054,019,524,895,744/409,173,424 - Step 6: Final answer
x = 1,877,086,766.82
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.