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Finding the Third Proportional to 40,668 and 53,976

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Solution

The third proportional to 40,668 and 53,976 is: 71,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,668 : 53,976 = 53,976 : x
  2. Step 2: Convert to fraction form
    40,668/53,976 = 53,976/x
  3. Step 3: Cross multiply
    40,668x = 53,976 × 53,976
  4. Step 4: Simplify right side
    40,668x = 2,913,408,576
  5. Step 5: Solve for x
    x = 2,913,408,576/40,668
  6. Step 6: Final answer
    x = 71,638.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.