Finding the Third Proportional to 122,442.75 and 189,204.75
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Solution
The third proportional to 122,442.75 and 189,204.75 is: 292,368.78
Step by Step Solution
- Step 1: Write the proportion equation
122,442.75 : 189,204.75 = 189,204.75 : x - Step 2: Convert to fraction form
122,442.75/189,204.75 = 189,204.75/x - Step 3: Cross multiply
122,442.75x = 189,204.75 × 189,204.75 - Step 4: Simplify right side
122,442.75x = 35,798,437,422.56 - Step 5: Solve for x
x = 35,798,437,422.56/122,442.75 - Step 6: Final answer
x = 292,368.78
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.