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Finding the Third Proportional to 2,145 and 5,109

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Solution

The third proportional to 2,145 and 5,109 is: 12,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145 : 5,109 = 5,109 : x
  2. Step 2: Convert to fraction form
    2,145/5,109 = 5,109/x
  3. Step 3: Cross multiply
    2,145x = 5,109 × 5,109
  4. Step 4: Simplify right side
    2,145x = 26,101,881
  5. Step 5: Solve for x
    x = 26,101,881/2,145
  6. Step 6: Final answer
    x = 12,168.71

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.