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Finding the Third Proportional to 20,201 and 20,824

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Solution

The third proportional to 20,201 and 20,824 is: 21,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201 : 20,824 = 20,824 : x
  2. Step 2: Convert to fraction form
    20,201/20,824 = 20,824/x
  3. Step 3: Cross multiply
    20,201x = 20,824 × 20,824
  4. Step 4: Simplify right side
    20,201x = 433,638,976
  5. Step 5: Solve for x
    x = 433,638,976/20,201
  6. Step 6: Final answer
    x = 21,466.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.