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Finding the Third Proportional to 8,399 and 19,151

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Solution

The third proportional to 8,399 and 19,151 is: 43,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399 : 19,151 = 19,151 : x
  2. Step 2: Convert to fraction form
    8,399/19,151 = 19,151/x
  3. Step 3: Cross multiply
    8,399x = 19,151 × 19,151
  4. Step 4: Simplify right side
    8,399x = 366,760,801
  5. Step 5: Solve for x
    x = 366,760,801/8,399
  6. Step 6: Final answer
    x = 43,667.20

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.