Finding the Third Proportional to 680 and 972.50
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Solution
The third proportional to 680 and 972.50 is: 1,390.82
Step by Step Solution
- Step 1: Write the proportion equation
680 : 972.50 = 972.50 : x - Step 2: Convert to fraction form
680/972.50 = 972.50/x - Step 3: Cross multiply
680x = 972.50 × 972.50 - Step 4: Simplify right side
680x = 945,756.25 - Step 5: Solve for x
x = 945,756.25/680 - Step 6: Final answer
x = 1,390.82
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.