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Finding the Third Proportional to 21,823 and 33,369

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Solution

The third proportional to 21,823 and 33,369 is: 51,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823 : 33,369 = 33,369 : x
  2. Step 2: Convert to fraction form
    21,823/33,369 = 33,369/x
  3. Step 3: Cross multiply
    21,823x = 33,369 × 33,369
  4. Step 4: Simplify right side
    21,823x = 1,113,490,161
  5. Step 5: Solve for x
    x = 1,113,490,161/21,823
  6. Step 6: Final answer
    x = 51,023.70

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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.