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Finding the Third Proportional to 19,077 and 21,858

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Solution

The third proportional to 19,077 and 21,858 is: 25,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077 : 21,858 = 21,858 : x
  2. Step 2: Convert to fraction form
    19,077/21,858 = 21,858/x
  3. Step 3: Cross multiply
    19,077x = 21,858 × 21,858
  4. Step 4: Simplify right side
    19,077x = 477,772,164
  5. Step 5: Solve for x
    x = 477,772,164/19,077
  6. Step 6: Final answer
    x = 25,044.41

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.