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Finding the Third Proportional to 21,910 and 33,433

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Solution

The third proportional to 21,910 and 33,433 is: 51,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910 : 33,433 = 33,433 : x
  2. Step 2: Convert to fraction form
    21,910/33,433 = 33,433/x
  3. Step 3: Cross multiply
    21,910x = 33,433 × 33,433
  4. Step 4: Simplify right side
    21,910x = 1,117,765,489
  5. Step 5: Solve for x
    x = 1,117,765,489/21,910
  6. Step 6: Final answer
    x = 51,016.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.