Finding the Third Proportional to 258,411,984.75 and 397,197,118.13
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Solution
The third proportional to 258,411,984.75 and 397,197,118.13 is: 610,519,480.35
Step by Step Solution
- Step 1: Write the proportion equation
258,411,984.75 : 397,197,118.13 = 397,197,118.13 : x - Step 2: Convert to fraction form
258,411,984.75/397,197,118.13 = 397,197,118.13/x - Step 3: Cross multiply
258,411,984.75x = 397,197,118.13 × 397,197,118.13 - Step 4: Simplify right side
258,411,984.75x = 157,765,550,646,805,216 - Step 5: Solve for x
x = 157,765,550,646,805,216/258,411,984.75 - Step 6: Final answer
x = 610,519,480.35
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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.