Finding the Third Proportional to 61,760 and 137,344
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Solution
The third proportional to 61,760 and 137,344 is: 305,430.28
Step by Step Solution
- Step 1: Write the proportion equation
61,760 : 137,344 = 137,344 : x - Step 2: Convert to fraction form
61,760/137,344 = 137,344/x - Step 3: Cross multiply
61,760x = 137,344 × 137,344 - Step 4: Simplify right side
61,760x = 18,863,374,336 - Step 5: Solve for x
x = 18,863,374,336/61,760 - Step 6: Final answer
x = 305,430.28
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.