Finding the Third Proportional to 988 and 1,596
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Solution
The third proportional to 988 and 1,596 is: 2,578.15
Step by Step Solution
- Step 1: Write the proportion equation
988 : 1,596 = 1,596 : x - Step 2: Convert to fraction form
988/1,596 = 1,596/x - Step 3: Cross multiply
988x = 1,596 × 1,596 - Step 4: Simplify right side
988x = 2,547,216 - Step 5: Solve for x
x = 2,547,216/988 - Step 6: Final answer
x = 2,578.15
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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.