Finding the Third Proportional to 972.50 and 1,895
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Solution
The third proportional to 972.50 and 1,895 is: 3,692.57
Step by Step Solution
- Step 1: Write the proportion equation
972.50 : 1,895 = 1,895 : x - Step 2: Convert to fraction form
972.50/1,895 = 1,895/x - Step 3: Cross multiply
972.50x = 1,895 × 1,895 - Step 4: Simplify right side
972.50x = 3,591,025 - Step 5: Solve for x
x = 3,591,025/972.50 - Step 6: Final answer
x = 3,692.57
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.