Finding the Third Proportional to 137 and 355
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Solution
The third proportional to 137 and 355 is: 919.89
Step by Step Solution
- Step 1: Write the proportion equation
137 : 355 = 355 : x - Step 2: Convert to fraction form
137/355 = 355/x - Step 3: Cross multiply
137x = 355 × 355 - Step 4: Simplify right side
137x = 126,025 - Step 5: Solve for x
x = 126,025/137 - Step 6: Final answer
x = 919.89
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These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.