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Finding the Third Proportional to 2,138 and 3,123

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Solution

The third proportional to 2,138 and 3,123 is: 4,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138 : 3,123 = 3,123 : x
  2. Step 2: Convert to fraction form
    2,138/3,123 = 3,123/x
  3. Step 3: Cross multiply
    2,138x = 3,123 × 3,123
  4. Step 4: Simplify right side
    2,138x = 9,753,129
  5. Step 5: Solve for x
    x = 9,753,129/2,138
  6. Step 6: Final answer
    x = 4,561.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.