Finding the Third Proportional to 991 and 1,547
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Solution
The third proportional to 991 and 1,547 is: 2,414.94
Step by Step Solution
- Step 1: Write the proportion equation
991 : 1,547 = 1,547 : x - Step 2: Convert to fraction form
991/1,547 = 1,547/x - Step 3: Cross multiply
991x = 1,547 × 1,547 - Step 4: Simplify right side
991x = 2,393,209 - Step 5: Solve for x
x = 2,393,209/991 - Step 6: Final answer
x = 2,414.94
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.