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Finding the Third Proportional to 18,937 and 39,833

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Solution

The third proportional to 18,937 and 39,833 is: 83,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,937 : 39,833 = 39,833 : x
  2. Step 2: Convert to fraction form
    18,937/39,833 = 39,833/x
  3. Step 3: Cross multiply
    18,937x = 39,833 × 39,833
  4. Step 4: Simplify right side
    18,937x = 1,586,667,889
  5. Step 5: Solve for x
    x = 1,586,667,889/18,937
  6. Step 6: Final answer
    x = 83,786.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.