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Finding the Third Proportional to 76,721 and 164,103

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Solution

The third proportional to 76,721 and 164,103 is: 351,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,721 : 164,103 = 164,103 : x
  2. Step 2: Convert to fraction form
    76,721/164,103 = 164,103/x
  3. Step 3: Cross multiply
    76,721x = 164,103 × 164,103
  4. Step 4: Simplify right side
    76,721x = 26,929,794,609
  5. Step 5: Solve for x
    x = 26,929,794,609/76,721
  6. Step 6: Final answer
    x = 351,009.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.