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Finding the Third Proportional to 2,642 and 4,109

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Solution

The third proportional to 2,642 and 4,109 is: 6,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642 : 4,109 = 4,109 : x
  2. Step 2: Convert to fraction form
    2,642/4,109 = 4,109/x
  3. Step 3: Cross multiply
    2,642x = 4,109 × 4,109
  4. Step 4: Simplify right side
    2,642x = 16,883,881
  5. Step 5: Solve for x
    x = 16,883,881/2,642
  6. Step 6: Final answer
    x = 6,390.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.