Finding the Third Proportional to 202,728 and 292,023
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Solution
The third proportional to 202,728 and 292,023 is: 420,649.50
Step by Step Solution
- Step 1: Write the proportion equation
202,728 : 292,023 = 292,023 : x - Step 2: Convert to fraction form
202,728/292,023 = 292,023/x - Step 3: Cross multiply
202,728x = 292,023 × 292,023 - Step 4: Simplify right side
202,728x = 85,277,432,529 - Step 5: Solve for x
x = 85,277,432,529/202,728 - Step 6: Final answer
x = 420,649.50
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.