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Finding the Third Proportional to 18,678 and 30,933

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Solution

The third proportional to 18,678 and 30,933 is: 51,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 30,933 = 30,933 : x
  2. Step 2: Convert to fraction form
    18,678/30,933 = 30,933/x
  3. Step 3: Cross multiply
    18,678x = 30,933 × 30,933
  4. Step 4: Simplify right side
    18,678x = 956,850,489
  5. Step 5: Solve for x
    x = 956,850,489/18,678
  6. Step 6: Final answer
    x = 51,228.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.