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Finding the Third Proportional to 21,834 and 47,149

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Solution

The third proportional to 21,834 and 47,149 is: 101,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834 : 47,149 = 47,149 : x
  2. Step 2: Convert to fraction form
    21,834/47,149 = 47,149/x
  3. Step 3: Cross multiply
    21,834x = 47,149 × 47,149
  4. Step 4: Simplify right side
    21,834x = 2,223,028,201
  5. Step 5: Solve for x
    x = 2,223,028,201/21,834
  6. Step 6: Final answer
    x = 101,814.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.