Finding the Third Proportional to 999 and 1,365
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Solution
The third proportional to 999 and 1,365 is: 1,865.09
Step by Step Solution
- Step 1: Write the proportion equation
999 : 1,365 = 1,365 : x - Step 2: Convert to fraction form
999/1,365 = 1,365/x - Step 3: Cross multiply
999x = 1,365 × 1,365 - Step 4: Simplify right side
999x = 1,863,225 - Step 5: Solve for x
x = 1,863,225/999 - Step 6: Final answer
x = 1,865.09
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.