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Finding the Third Proportional to 20,634 and 43,293

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Solution

The third proportional to 20,634 and 43,293 is: 90,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634 : 43,293 = 43,293 : x
  2. Step 2: Convert to fraction form
    20,634/43,293 = 43,293/x
  3. Step 3: Cross multiply
    20,634x = 43,293 × 43,293
  4. Step 4: Simplify right side
    20,634x = 1,874,283,849
  5. Step 5: Solve for x
    x = 1,874,283,849/20,634
  6. Step 6: Final answer
    x = 90,834.73

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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.