Finding the Third Proportional to 75,057 and 115,831.50
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Solution
The third proportional to 75,057 and 115,831.50 is: 178,756.63
Step by Step Solution
- Step 1: Write the proportion equation
75,057 : 115,831.50 = 115,831.50 : x - Step 2: Convert to fraction form
75,057/115,831.50 = 115,831.50/x - Step 3: Cross multiply
75,057x = 115,831.50 × 115,831.50 - Step 4: Simplify right side
75,057x = 13,416,936,392.25 - Step 5: Solve for x
x = 13,416,936,392.25/75,057 - Step 6: Final answer
x = 178,756.63
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.