Finding the Third Proportional to 120,831.75 and 198,743.63
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Solution
The third proportional to 120,831.75 and 198,743.63 is: 326,892.79
Step by Step Solution
- Step 1: Write the proportion equation
120,831.75 : 198,743.63 = 198,743.63 : x - Step 2: Convert to fraction form
120,831.75/198,743.63 = 198,743.63/x - Step 3: Cross multiply
120,831.75x = 198,743.63 × 198,743.63 - Step 4: Simplify right side
120,831.75x = 39,499,028,478.14 - Step 5: Solve for x
x = 39,499,028,478.14/120,831.75 - Step 6: Final answer
x = 326,892.79
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.