Finding the Third Proportional to 77,023.50 and 103,026
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Solution
The third proportional to 77,023.50 and 103,026 is: 137,806.73
Step by Step Solution
- Step 1: Write the proportion equation
77,023.50 : 103,026 = 103,026 : x - Step 2: Convert to fraction form
77,023.50/103,026 = 103,026/x - Step 3: Cross multiply
77,023.50x = 103,026 × 103,026 - Step 4: Simplify right side
77,023.50x = 10,614,356,676 - Step 5: Solve for x
x = 10,614,356,676/77,023.50 - Step 6: Final answer
x = 137,806.73
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.