Finding the Third Proportional to 382,640 and 834,174
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Solution
The third proportional to 382,640 and 834,174 is: 1,818,540.30
Step by Step Solution
- Step 1: Write the proportion equation
382,640 : 834,174 = 834,174 : x - Step 2: Convert to fraction form
382,640/834,174 = 834,174/x - Step 3: Cross multiply
382,640x = 834,174 × 834,174 - Step 4: Simplify right side
382,640x = 695,846,262,276 - Step 5: Solve for x
x = 695,846,262,276/382,640 - Step 6: Final answer
x = 1,818,540.30
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.