Finding the Third Proportional to 102,417 and 213,009
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Solution
The third proportional to 102,417 and 213,009 is: 443,020.53
Step by Step Solution
- Step 1: Write the proportion equation
102,417 : 213,009 = 213,009 : x - Step 2: Convert to fraction form
102,417/213,009 = 213,009/x - Step 3: Cross multiply
102,417x = 213,009 × 213,009 - Step 4: Simplify right side
102,417x = 45,372,834,081 - Step 5: Solve for x
x = 45,372,834,081/102,417 - Step 6: Final answer
x = 443,020.53
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.