Finding the Third Proportional to 153 and 397.50
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Solution
The third proportional to 153 and 397.50 is: 1,032.72
Step by Step Solution
- Step 1: Write the proportion equation
153 : 397.50 = 397.50 : x - Step 2: Convert to fraction form
153/397.50 = 397.50/x - Step 3: Cross multiply
153x = 397.50 × 397.50 - Step 4: Simplify right side
153x = 158,006.25 - Step 5: Solve for x
x = 158,006.25/153 - Step 6: Final answer
x = 1,032.72
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Why These Related Problems?
These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.