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Finding the Third Proportional to 20,769 and 45,834

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Solution

The third proportional to 20,769 and 45,834 is: 101,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 45,834 = 45,834 : x
  2. Step 2: Convert to fraction form
    20,769/45,834 = 45,834/x
  3. Step 3: Cross multiply
    20,769x = 45,834 × 45,834
  4. Step 4: Simplify right side
    20,769x = 2,100,755,556
  5. Step 5: Solve for x
    x = 2,100,755,556/20,769
  6. Step 6: Final answer
    x = 101,148.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.