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Finding the Third Proportional to 31,634 and 47,379

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Solution

The third proportional to 31,634 and 47,379 is: 70,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634 : 47,379 = 47,379 : x
  2. Step 2: Convert to fraction form
    31,634/47,379 = 47,379/x
  3. Step 3: Cross multiply
    31,634x = 47,379 × 47,379
  4. Step 4: Simplify right side
    31,634x = 2,244,769,641
  5. Step 5: Solve for x
    x = 2,244,769,641/31,634
  6. Step 6: Final answer
    x = 70,960.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.