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Finding the Third Proportional to 8,129 and 17,809

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Solution

The third proportional to 8,129 and 17,809 is: 39,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129 : 17,809 = 17,809 : x
  2. Step 2: Convert to fraction form
    8,129/17,809 = 17,809/x
  3. Step 3: Cross multiply
    8,129x = 17,809 × 17,809
  4. Step 4: Simplify right side
    8,129x = 317,160,481
  5. Step 5: Solve for x
    x = 317,160,481/8,129
  6. Step 6: Final answer
    x = 39,015.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.