Finding the Third Proportional to 271,974 and 382,320
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Solution
The third proportional to 271,974 and 382,320 is: 537,435.87
Step by Step Solution
- Step 1: Write the proportion equation
271,974 : 382,320 = 382,320 : x - Step 2: Convert to fraction form
271,974/382,320 = 382,320/x - Step 3: Cross multiply
271,974x = 382,320 × 382,320 - Step 4: Simplify right side
271,974x = 146,168,582,400 - Step 5: Solve for x
x = 146,168,582,400/271,974 - Step 6: Final answer
x = 537,435.87
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.