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Finding the Third Proportional to 31,811 and 47,721

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Solution

The third proportional to 31,811 and 47,721 is: 71,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811 : 47,721 = 47,721 : x
  2. Step 2: Convert to fraction form
    31,811/47,721 = 47,721/x
  3. Step 3: Cross multiply
    31,811x = 47,721 × 47,721
  4. Step 4: Simplify right side
    31,811x = 2,277,293,841
  5. Step 5: Solve for x
    x = 2,277,293,841/31,811
  6. Step 6: Final answer
    x = 71,588.25

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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.