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Finding the Third Proportional to 2,123 and 2,791

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Solution

The third proportional to 2,123 and 2,791 is: 3,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123 : 2,791 = 2,791 : x
  2. Step 2: Convert to fraction form
    2,123/2,791 = 2,791/x
  3. Step 3: Cross multiply
    2,123x = 2,791 × 2,791
  4. Step 4: Simplify right side
    2,123x = 7,789,681
  5. Step 5: Solve for x
    x = 7,789,681/2,123
  6. Step 6: Final answer
    x = 3,669.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.