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Finding the Third Proportional to 20,288 and 30,824

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Solution

The third proportional to 20,288 and 30,824 is: 46,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288 : 30,824 = 30,824 : x
  2. Step 2: Convert to fraction form
    20,288/30,824 = 30,824/x
  3. Step 3: Cross multiply
    20,288x = 30,824 × 30,824
  4. Step 4: Simplify right side
    20,288x = 950,118,976
  5. Step 5: Solve for x
    x = 950,118,976/20,288
  6. Step 6: Final answer
    x = 46,831.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.