Finding the Third Proportional to 130.50 and 144.56
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Solution
The third proportional to 130.50 and 144.56 is: 160.14
Step by Step Solution
- Step 1: Write the proportion equation
130.50 : 144.56 = 144.56 : x - Step 2: Convert to fraction form
130.50/144.56 = 144.56/x - Step 3: Cross multiply
130.50x = 144.56 × 144.56 - Step 4: Simplify right side
130.50x = 20,898.32 - Step 5: Solve for x
x = 20,898.32/130.50 - Step 6: Final answer
x = 160.14
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.