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Finding the Third Proportional to 20,821 and 43,262

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Solution

The third proportional to 20,821 and 43,262 is: 89,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821 : 43,262 = 43,262 : x
  2. Step 2: Convert to fraction form
    20,821/43,262 = 43,262/x
  3. Step 3: Cross multiply
    20,821x = 43,262 × 43,262
  4. Step 4: Simplify right side
    20,821x = 1,871,600,644
  5. Step 5: Solve for x
    x = 1,871,600,644/20,821
  6. Step 6: Final answer
    x = 89,890.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.