Finding the Third Proportional to 137 and 237
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Solution
The third proportional to 137 and 237 is: 409.99
Step by Step Solution
- Step 1: Write the proportion equation
137 : 237 = 237 : x - Step 2: Convert to fraction form
137/237 = 237/x - Step 3: Cross multiply
137x = 237 × 237 - Step 4: Simplify right side
137x = 56,169 - Step 5: Solve for x
x = 56,169/137 - Step 6: Final answer
x = 409.99
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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.