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Finding the Third Proportional to 19,872 and 33,008

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Solution

The third proportional to 19,872 and 33,008 is: 54,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872 : 33,008 = 33,008 : x
  2. Step 2: Convert to fraction form
    19,872/33,008 = 33,008/x
  3. Step 3: Cross multiply
    19,872x = 33,008 × 33,008
  4. Step 4: Simplify right side
    19,872x = 1,089,528,064
  5. Step 5: Solve for x
    x = 1,089,528,064/19,872
  6. Step 6: Final answer
    x = 54,827.30

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.