Finding the Third Proportional to 2,097 and 3,172
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Solution
The third proportional to 2,097 and 3,172 is: 4,798.08
Step by Step Solution
- Step 1: Write the proportion equation
2,097 : 3,172 = 3,172 : x - Step 2: Convert to fraction form
2,097/3,172 = 3,172/x - Step 3: Cross multiply
2,097x = 3,172 × 3,172 - Step 4: Simplify right side
2,097x = 10,061,584 - Step 5: Solve for x
x = 10,061,584/2,097 - Step 6: Final answer
x = 4,798.08
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.