Finding the Third Proportional to 53 and 138
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Solution
The third proportional to 53 and 138 is: 359.32
Step by Step Solution
- Step 1: Write the proportion equation
53 : 138 = 138 : x - Step 2: Convert to fraction form
53/138 = 138/x - Step 3: Cross multiply
53x = 138 × 138 - Step 4: Simplify right side
53x = 19,044 - Step 5: Solve for x
x = 19,044/53 - Step 6: Final answer
x = 359.32
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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.