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Finding the Third Proportional to 2,138 and 4,642

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Solution

The third proportional to 2,138 and 4,642 is: 10,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138 : 4,642 = 4,642 : x
  2. Step 2: Convert to fraction form
    2,138/4,642 = 4,642/x
  3. Step 3: Cross multiply
    2,138x = 4,642 × 4,642
  4. Step 4: Simplify right side
    2,138x = 21,548,164
  5. Step 5: Solve for x
    x = 21,548,164/2,138
  6. Step 6: Final answer
    x = 10,078.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.