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Finding the Third Proportional to 20,828 and 30,689

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Solution

The third proportional to 20,828 and 30,689 is: 45,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828 : 30,689 = 30,689 : x
  2. Step 2: Convert to fraction form
    20,828/30,689 = 30,689/x
  3. Step 3: Cross multiply
    20,828x = 30,689 × 30,689
  4. Step 4: Simplify right side
    20,828x = 941,814,721
  5. Step 5: Solve for x
    x = 941,814,721/20,828
  6. Step 6: Final answer
    x = 45,218.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.