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Finding the Third Proportional to 31,860 and 47,904

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Solution

The third proportional to 31,860 and 47,904 is: 72,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860 : 47,904 = 47,904 : x
  2. Step 2: Convert to fraction form
    31,860/47,904 = 47,904/x
  3. Step 3: Cross multiply
    31,860x = 47,904 × 47,904
  4. Step 4: Simplify right side
    31,860x = 2,294,793,216
  5. Step 5: Solve for x
    x = 2,294,793,216/31,860
  6. Step 6: Final answer
    x = 72,027.41

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