Finding the Third Proportional to 20,974 and 45,764
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Solution
The third proportional to 20,974 and 45,764 is: 99,854.28
Step by Step Solution
- Step 1: Write the proportion equation
20,974 : 45,764 = 45,764 : x - Step 2: Convert to fraction form
20,974/45,764 = 45,764/x - Step 3: Cross multiply
20,974x = 45,764 × 45,764 - Step 4: Simplify right side
20,974x = 2,094,343,696 - Step 5: Solve for x
x = 2,094,343,696/20,974 - Step 6: Final answer
x = 99,854.28
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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.