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Finding the Third Proportional to 20,819 and 33,299

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Solution

The third proportional to 20,819 and 33,299 is: 53,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819 : 33,299 = 33,299 : x
  2. Step 2: Convert to fraction form
    20,819/33,299 = 33,299/x
  3. Step 3: Cross multiply
    20,819x = 33,299 × 33,299
  4. Step 4: Simplify right side
    20,819x = 1,108,823,401
  5. Step 5: Solve for x
    x = 1,108,823,401/20,819
  6. Step 6: Final answer
    x = 53,260.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.