Finding the Third Proportional to 825 and 1,335
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Solution
The third proportional to 825 and 1,335 is: 2,160.27
Step by Step Solution
- Step 1: Write the proportion equation
825 : 1,335 = 1,335 : x - Step 2: Convert to fraction form
825/1,335 = 1,335/x - Step 3: Cross multiply
825x = 1,335 × 1,335 - Step 4: Simplify right side
825x = 1,782,225 - Step 5: Solve for x
x = 1,782,225/825 - Step 6: Final answer
x = 2,160.27
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.