Finding the Third Proportional to 31,322 and 42,951
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Solution
The third proportional to 31,322 and 42,951 is: 58,897.53
Step by Step Solution
- Step 1: Write the proportion equation
31,322 : 42,951 = 42,951 : x - Step 2: Convert to fraction form
31,322/42,951 = 42,951/x - Step 3: Cross multiply
31,322x = 42,951 × 42,951 - Step 4: Simplify right side
31,322x = 1,844,788,401 - Step 5: Solve for x
x = 1,844,788,401/31,322 - Step 6: Final answer
x = 58,897.53
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.