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Finding the Third Proportional to 31,400 and 39,972

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Solution

The third proportional to 31,400 and 39,972 is: 50,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400 : 39,972 = 39,972 : x
  2. Step 2: Convert to fraction form
    31,400/39,972 = 39,972/x
  3. Step 3: Cross multiply
    31,400x = 39,972 × 39,972
  4. Step 4: Simplify right side
    31,400x = 1,597,760,784
  5. Step 5: Solve for x
    x = 1,597,760,784/31,400
  6. Step 6: Final answer
    x = 50,884.10

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.