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Finding the Third Proportional to 71,129 and 164,669

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Solution

The third proportional to 71,129 and 164,669 is: 381,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,129 : 164,669 = 164,669 : x
  2. Step 2: Convert to fraction form
    71,129/164,669 = 164,669/x
  3. Step 3: Cross multiply
    71,129x = 164,669 × 164,669
  4. Step 4: Simplify right side
    71,129x = 27,115,879,561
  5. Step 5: Solve for x
    x = 27,115,879,561/71,129
  6. Step 6: Final answer
    x = 381,221.16

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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.