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Finding the Third Proportional to 18,629 and 38,077

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Solution

The third proportional to 18,629 and 38,077 is: 77,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,629 : 38,077 = 38,077 : x
  2. Step 2: Convert to fraction form
    18,629/38,077 = 38,077/x
  3. Step 3: Cross multiply
    18,629x = 38,077 × 38,077
  4. Step 4: Simplify right side
    18,629x = 1,449,857,929
  5. Step 5: Solve for x
    x = 1,449,857,929/18,629
  6. Step 6: Final answer
    x = 77,828.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.