Finding the Third Proportional to 38,380 and 83,320
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Solution
The third proportional to 38,380 and 83,320 is: 180,881.25
Step by Step Solution
- Step 1: Write the proportion equation
38,380 : 83,320 = 83,320 : x - Step 2: Convert to fraction form
38,380/83,320 = 83,320/x - Step 3: Cross multiply
38,380x = 83,320 × 83,320 - Step 4: Simplify right side
38,380x = 6,942,222,400 - Step 5: Solve for x
x = 6,942,222,400/38,380 - Step 6: Final answer
x = 180,881.25
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.