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Finding the Third Proportional to 8,042 and 17,929

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Solution

The third proportional to 8,042 and 17,929 is: 39,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042 : 17,929 = 17,929 : x
  2. Step 2: Convert to fraction form
    8,042/17,929 = 17,929/x
  3. Step 3: Cross multiply
    8,042x = 17,929 × 17,929
  4. Step 4: Simplify right side
    8,042x = 321,449,041
  5. Step 5: Solve for x
    x = 321,449,041/8,042
  6. Step 6: Final answer
    x = 39,971.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.