Finding the Third Proportional to 2,730.75 and 3,831.75
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Solution
The third proportional to 2,730.75 and 3,831.75 is: 5,376.66
Step by Step Solution
- Step 1: Write the proportion equation
2,730.75 : 3,831.75 = 3,831.75 : x - Step 2: Convert to fraction form
2,730.75/3,831.75 = 3,831.75/x - Step 3: Cross multiply
2,730.75x = 3,831.75 × 3,831.75 - Step 4: Simplify right side
2,730.75x = 14,682,308.06 - Step 5: Solve for x
x = 14,682,308.06/2,730.75 - Step 6: Final answer
x = 5,376.66
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.