Finding the Third Proportional to 45,322 and 72,964
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Solution
The third proportional to 45,322 and 72,964 is: 117,464.92
Step by Step Solution
- Step 1: Write the proportion equation
45,322 : 72,964 = 72,964 : x - Step 2: Convert to fraction form
45,322/72,964 = 72,964/x - Step 3: Cross multiply
45,322x = 72,964 × 72,964 - Step 4: Simplify right side
45,322x = 5,323,745,296 - Step 5: Solve for x
x = 5,323,745,296/45,322 - Step 6: Final answer
x = 117,464.92
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.