Finding the Third Proportional to 765 and 832.50
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Solution
The third proportional to 765 and 832.50 is: 905.96
Step by Step Solution
- Step 1: Write the proportion equation
765 : 832.50 = 832.50 : x - Step 2: Convert to fraction form
765/832.50 = 832.50/x - Step 3: Cross multiply
765x = 832.50 × 832.50 - Step 4: Simplify right side
765x = 693,056.25 - Step 5: Solve for x
x = 693,056.25/765 - Step 6: Final answer
x = 905.96
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.