Finding the Third Proportional to 78,270 and 104,857.50
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Solution
The third proportional to 78,270 and 104,857.50 is: 140,476.50
Step by Step Solution
- Step 1: Write the proportion equation
78,270 : 104,857.50 = 104,857.50 : x - Step 2: Convert to fraction form
78,270/104,857.50 = 104,857.50/x - Step 3: Cross multiply
78,270x = 104,857.50 × 104,857.50 - Step 4: Simplify right side
78,270x = 10,995,095,306.25 - Step 5: Solve for x
x = 10,995,095,306.25/78,270 - Step 6: Final answer
x = 140,476.50
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.