Finding the Third Proportional to 120,534.75 and 178,341.75
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Solution
The third proportional to 120,534.75 and 178,341.75 is: 263,872.28
Step by Step Solution
- Step 1: Write the proportion equation
120,534.75 : 178,341.75 = 178,341.75 : x - Step 2: Convert to fraction form
120,534.75/178,341.75 = 178,341.75/x - Step 3: Cross multiply
120,534.75x = 178,341.75 × 178,341.75 - Step 4: Simplify right side
120,534.75x = 31,805,779,793.06 - Step 5: Solve for x
x = 31,805,779,793.06/120,534.75 - Step 6: Final answer
x = 263,872.28
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.