Finding the Third Proportional to 152 and 198.50
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Solution
The third proportional to 152 and 198.50 is: 259.23
Step by Step Solution
- Step 1: Write the proportion equation
152 : 198.50 = 198.50 : x - Step 2: Convert to fraction form
152/198.50 = 198.50/x - Step 3: Cross multiply
152x = 198.50 × 198.50 - Step 4: Simplify right side
152x = 39,402.25 - Step 5: Solve for x
x = 39,402.25/152 - Step 6: Final answer
x = 259.23
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.