Finding the Third Proportional to 13,456 and 31,288
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Solution
The third proportional to 13,456 and 31,288 is: 72,751.11
Step by Step Solution
- Step 1: Write the proportion equation
13,456 : 31,288 = 31,288 : x - Step 2: Convert to fraction form
13,456/31,288 = 31,288/x - Step 3: Cross multiply
13,456x = 31,288 × 31,288 - Step 4: Simplify right side
13,456x = 978,938,944 - Step 5: Solve for x
x = 978,938,944/13,456 - Step 6: Final answer
x = 72,751.11
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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.