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Finding the Third Proportional to 21,634 and 47,965

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Solution

The third proportional to 21,634 and 47,965 is: 106,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634 : 47,965 = 47,965 : x
  2. Step 2: Convert to fraction form
    21,634/47,965 = 47,965/x
  3. Step 3: Cross multiply
    21,634x = 47,965 × 47,965
  4. Step 4: Simplify right side
    21,634x = 2,300,641,225
  5. Step 5: Solve for x
    x = 2,300,641,225/21,634
  6. Step 6: Final answer
    x = 106,343.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.