Finding the Third Proportional to 137 and 153.50
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Solution
The third proportional to 137 and 153.50 is: 171.99
Step by Step Solution
- Step 1: Write the proportion equation
137 : 153.50 = 153.50 : x - Step 2: Convert to fraction form
137/153.50 = 153.50/x - Step 3: Cross multiply
137x = 153.50 × 153.50 - Step 4: Simplify right side
137x = 23,562.25 - Step 5: Solve for x
x = 23,562.25/137 - Step 6: Final answer
x = 171.99
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.