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Finding the Third Proportional to 18,778 and 39,704

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Solution

The third proportional to 18,778 and 39,704 is: 83,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778 : 39,704 = 39,704 : x
  2. Step 2: Convert to fraction form
    18,778/39,704 = 39,704/x
  3. Step 3: Cross multiply
    18,778x = 39,704 × 39,704
  4. Step 4: Simplify right side
    18,778x = 1,576,407,616
  5. Step 5: Solve for x
    x = 1,576,407,616/18,778
  6. Step 6: Final answer
    x = 83,949.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.