Finding the Third Proportional to 9,771.75 and 21,381.75
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Solution
The third proportional to 9,771.75 and 21,381.75 is: 46,785.81
Step by Step Solution
- Step 1: Write the proportion equation
9,771.75 : 21,381.75 = 21,381.75 : x - Step 2: Convert to fraction form
9,771.75/21,381.75 = 21,381.75/x - Step 3: Cross multiply
9,771.75x = 21,381.75 × 21,381.75 - Step 4: Simplify right side
9,771.75x = 457,179,233.06 - Step 5: Solve for x
x = 457,179,233.06/9,771.75 - Step 6: Final answer
x = 46,785.81
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.