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Finding the Third Proportional to 20,830 and 43,567

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Solution

The third proportional to 20,830 and 43,567 is: 91,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 43,567 = 43,567 : x
  2. Step 2: Convert to fraction form
    20,830/43,567 = 43,567/x
  3. Step 3: Cross multiply
    20,830x = 43,567 × 43,567
  4. Step 4: Simplify right side
    20,830x = 1,898,083,489
  5. Step 5: Solve for x
    x = 1,898,083,489/20,830
  6. Step 6: Final answer
    x = 91,122.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.