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Finding the Third Proportional to 20,833 and 42,439

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Solution

The third proportional to 20,833 and 42,439 is: 86,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833 : 42,439 = 42,439 : x
  2. Step 2: Convert to fraction form
    20,833/42,439 = 42,439/x
  3. Step 3: Cross multiply
    20,833x = 42,439 × 42,439
  4. Step 4: Simplify right side
    20,833x = 1,801,068,721
  5. Step 5: Solve for x
    x = 1,801,068,721/20,833
  6. Step 6: Final answer
    x = 86,452.68

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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.