Finding the Third Proportional to 278,974 and 405,500
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Solution
The third proportional to 278,974 and 405,500 is: 589,410.66
Step by Step Solution
- Step 1: Write the proportion equation
278,974 : 405,500 = 405,500 : x - Step 2: Convert to fraction form
278,974/405,500 = 405,500/x - Step 3: Cross multiply
278,974x = 405,500 × 405,500 - Step 4: Simplify right side
278,974x = 164,430,250,000 - Step 5: Solve for x
x = 164,430,250,000/278,974 - Step 6: Final answer
x = 589,410.66
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.