Finding the Third Proportional to 31,023.50 and 67,295
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Solution
The third proportional to 31,023.50 and 67,295 is: 145,973.76
Step by Step Solution
- Step 1: Write the proportion equation
31,023.50 : 67,295 = 67,295 : x - Step 2: Convert to fraction form
31,023.50/67,295 = 67,295/x - Step 3: Cross multiply
31,023.50x = 67,295 × 67,295 - Step 4: Simplify right side
31,023.50x = 4,528,617,025 - Step 5: Solve for x
x = 4,528,617,025/31,023.50 - Step 6: Final answer
x = 145,973.76
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.