Finding the Third Proportional to 714 and 1,189
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Solution
The third proportional to 714 and 1,189 is: 1,980.00
Step by Step Solution
- Step 1: Write the proportion equation
714 : 1,189 = 1,189 : x - Step 2: Convert to fraction form
714/1,189 = 1,189/x - Step 3: Cross multiply
714x = 1,189 × 1,189 - Step 4: Simplify right side
714x = 1,413,721 - Step 5: Solve for x
x = 1,413,721/714 - Step 6: Final answer
x = 1,980.00
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.