Finding the Third Proportional to 96 and 156.50
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Solution
The third proportional to 96 and 156.50 is: 255.13
Step by Step Solution
- Step 1: Write the proportion equation
96 : 156.50 = 156.50 : x - Step 2: Convert to fraction form
96/156.50 = 156.50/x - Step 3: Cross multiply
96x = 156.50 × 156.50 - Step 4: Simplify right side
96x = 24,492.25 - Step 5: Solve for x
x = 24,492.25/96 - Step 6: Final answer
x = 255.13
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.