Finding the Third Proportional to 21,170 and 32,429
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Solution
The third proportional to 21,170 and 32,429 is: 49,675.96
Step by Step Solution
- Step 1: Write the proportion equation
21,170 : 32,429 = 32,429 : x - Step 2: Convert to fraction form
21,170/32,429 = 32,429/x - Step 3: Cross multiply
21,170x = 32,429 × 32,429 - Step 4: Simplify right side
21,170x = 1,051,640,041 - Step 5: Solve for x
x = 1,051,640,041/21,170 - Step 6: Final answer
x = 49,675.96
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.