Finding the Third Proportional to 142,778.44 and 214,194.75
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Solution
The third proportional to 142,778.44 and 214,194.75 is: 321,332.77
Step by Step Solution
- Step 1: Write the proportion equation
142,778.44 : 214,194.75 = 214,194.75 : x - Step 2: Convert to fraction form
142,778.44/214,194.75 = 214,194.75/x - Step 3: Cross multiply
142,778.44x = 214,194.75 × 214,194.75 - Step 4: Simplify right side
142,778.44x = 45,879,390,927.56 - Step 5: Solve for x
x = 45,879,390,927.56/142,778.44 - Step 6: Final answer
x = 321,332.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.