Finding the Third Proportional to 687 and 772.50
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Solution
The third proportional to 687 and 772.50 is: 868.64
Step by Step Solution
- Step 1: Write the proportion equation
687 : 772.50 = 772.50 : x - Step 2: Convert to fraction form
687/772.50 = 772.50/x - Step 3: Cross multiply
687x = 772.50 × 772.50 - Step 4: Simplify right side
687x = 596,756.25 - Step 5: Solve for x
x = 596,756.25/687 - Step 6: Final answer
x = 868.64
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.