Finding the Third Proportional to 945 and 1,987
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Solution
The third proportional to 945 and 1,987 is: 4,177.96
Step by Step Solution
- Step 1: Write the proportion equation
945 : 1,987 = 1,987 : x - Step 2: Convert to fraction form
945/1,987 = 1,987/x - Step 3: Cross multiply
945x = 1,987 × 1,987 - Step 4: Simplify right side
945x = 3,948,169 - Step 5: Solve for x
x = 3,948,169/945 - Step 6: Final answer
x = 4,177.96
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.