Finding the Third Proportional to 130 and 234
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Solution
The third proportional to 130 and 234 is: 421.20
Step by Step Solution
- Step 1: Write the proportion equation
130 : 234 = 234 : x - Step 2: Convert to fraction form
130/234 = 234/x - Step 3: Cross multiply
130x = 234 × 234 - Step 4: Simplify right side
130x = 54,756 - Step 5: Solve for x
x = 54,756/130 - Step 6: Final answer
x = 421.20
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.