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Finding the Third Proportional to 19,224 and 39,912

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Solution

The third proportional to 19,224 and 39,912 is: 82,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 39,912 = 39,912 : x
  2. Step 2: Convert to fraction form
    19,224/39,912 = 39,912/x
  3. Step 3: Cross multiply
    19,224x = 39,912 × 39,912
  4. Step 4: Simplify right side
    19,224x = 1,592,967,744
  5. Step 5: Solve for x
    x = 1,592,967,744/19,224
  6. Step 6: Final answer
    x = 82,863.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.