Finding the Third Proportional to 1,693 and 1,855
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Solution
The third proportional to 1,693 and 1,855 is: 2,032.50
Step by Step Solution
- Step 1: Write the proportion equation
1,693 : 1,855 = 1,855 : x - Step 2: Convert to fraction form
1,693/1,855 = 1,855/x - Step 3: Cross multiply
1,693x = 1,855 × 1,855 - Step 4: Simplify right side
1,693x = 3,441,025 - Step 5: Solve for x
x = 3,441,025/1,693 - Step 6: Final answer
x = 2,032.50
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.