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Finding the Third Proportional to 71,108 and 164,620

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Solution

The third proportional to 71,108 and 164,620 is: 381,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,108 : 164,620 = 164,620 : x
  2. Step 2: Convert to fraction form
    71,108/164,620 = 164,620/x
  3. Step 3: Cross multiply
    71,108x = 164,620 × 164,620
  4. Step 4: Simplify right side
    71,108x = 27,099,744,400
  5. Step 5: Solve for x
    x = 27,099,744,400/71,108
  6. Step 6: Final answer
    x = 381,106.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.