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Finding the Third Proportional to 21,890 and 33,861

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Solution

The third proportional to 21,890 and 33,861 is: 52,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890 : 33,861 = 33,861 : x
  2. Step 2: Convert to fraction form
    21,890/33,861 = 33,861/x
  3. Step 3: Cross multiply
    21,890x = 33,861 × 33,861
  4. Step 4: Simplify right side
    21,890x = 1,146,567,321
  5. Step 5: Solve for x
    x = 1,146,567,321/21,890
  6. Step 6: Final answer
    x = 52,378.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.