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Finding the Third Proportional to 19,728 and 41,967

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Solution

The third proportional to 19,728 and 41,967 is: 89,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 41,967 = 41,967 : x
  2. Step 2: Convert to fraction form
    19,728/41,967 = 41,967/x
  3. Step 3: Cross multiply
    19,728x = 41,967 × 41,967
  4. Step 4: Simplify right side
    19,728x = 1,761,229,089
  5. Step 5: Solve for x
    x = 1,761,229,089/19,728
  6. Step 6: Final answer
    x = 89,275.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.