Finding the Third Proportional to 102,946 and 223,940
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Solution
The third proportional to 102,946 and 223,940 is: 487,140.09
Step by Step Solution
- Step 1: Write the proportion equation
102,946 : 223,940 = 223,940 : x - Step 2: Convert to fraction form
102,946/223,940 = 223,940/x - Step 3: Cross multiply
102,946x = 223,940 × 223,940 - Step 4: Simplify right side
102,946x = 50,149,123,600 - Step 5: Solve for x
x = 50,149,123,600/102,946 - Step 6: Final answer
x = 487,140.09
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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.