Finding the Third Proportional to 412,348 and 878,696
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Solution
The third proportional to 412,348 and 878,696 is: 1,872,463.70
Step by Step Solution
- Step 1: Write the proportion equation
412,348 : 878,696 = 878,696 : x - Step 2: Convert to fraction form
412,348/878,696 = 878,696/x - Step 3: Cross multiply
412,348x = 878,696 × 878,696 - Step 4: Simplify right side
412,348x = 772,106,660,416 - Step 5: Solve for x
x = 772,106,660,416/412,348 - Step 6: Final answer
x = 1,872,463.70
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.