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Finding the Third Proportional to 31,992 and 47,988

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Solution

The third proportional to 31,992 and 47,988 is: 71,982

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992 : 47,988 = 47,988 : x
  2. Step 2: Convert to fraction form
    31,992/47,988 = 47,988/x
  3. Step 3: Cross multiply
    31,992x = 47,988 × 47,988
  4. Step 4: Simplify right side
    31,992x = 2,302,848,144
  5. Step 5: Solve for x
    x = 2,302,848,144/31,992
  6. Step 6: Final answer
    x = 71,982

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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.