Finding the Third Proportional to 77,059.50 and 112,923
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Solution
The third proportional to 77,059.50 and 112,923 is: 165,477.38
Step by Step Solution
- Step 1: Write the proportion equation
77,059.50 : 112,923 = 112,923 : x - Step 2: Convert to fraction form
77,059.50/112,923 = 112,923/x - Step 3: Cross multiply
77,059.50x = 112,923 × 112,923 - Step 4: Simplify right side
77,059.50x = 12,751,603,929 - Step 5: Solve for x
x = 12,751,603,929/77,059.50 - Step 6: Final answer
x = 165,477.38
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.