Finding the Third Proportional to 401,966 and 862,210
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Solution
The third proportional to 401,966 and 862,210 is: 1,849,425.28
Step by Step Solution
- Step 1: Write the proportion equation
401,966 : 862,210 = 862,210 : x - Step 2: Convert to fraction form
401,966/862,210 = 862,210/x - Step 3: Cross multiply
401,966x = 862,210 × 862,210 - Step 4: Simplify right side
401,966x = 743,406,084,100 - Step 5: Solve for x
x = 743,406,084,100/401,966 - Step 6: Final answer
x = 1,849,425.28
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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.