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Finding the Third Proportional to 20,182 and 21,721

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Solution

The third proportional to 20,182 and 21,721 is: 23,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 21,721 = 21,721 : x
  2. Step 2: Convert to fraction form
    20,182/21,721 = 21,721/x
  3. Step 3: Cross multiply
    20,182x = 21,721 × 21,721
  4. Step 4: Simplify right side
    20,182x = 471,801,841
  5. Step 5: Solve for x
    x = 471,801,841/20,182
  6. Step 6: Final answer
    x = 23,377.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.