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Finding the Third Proportional to 1,877 and 2,491

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Solution

The third proportional to 1,877 and 2,491 is: 3,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877 : 2,491 = 2,491 : x
  2. Step 2: Convert to fraction form
    1,877/2,491 = 2,491/x
  3. Step 3: Cross multiply
    1,877x = 2,491 × 2,491
  4. Step 4: Simplify right side
    1,877x = 6,205,081
  5. Step 5: Solve for x
    x = 6,205,081/1,877
  6. Step 6: Final answer
    x = 3,305.85

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.