Finding the Third Proportional to 205,429,005 and 418,032,441
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Solution
The third proportional to 205,429,005 and 418,032,441 is: 850,664,304.82
Step by Step Solution
- Step 1: Write the proportion equation
205,429,005 : 418,032,441 = 418,032,441 : x - Step 2: Convert to fraction form
205,429,005/418,032,441 = 418,032,441/x - Step 3: Cross multiply
205,429,005x = 418,032,441 × 418,032,441 - Step 4: Simplify right side
205,429,005x = 174,751,121,728,418,496 - Step 5: Solve for x
x = 174,751,121,728,418,496/205,429,005 - Step 6: Final answer
x = 850,664,304.82
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.