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Finding the Third Proportional to 69,907 and 164,197

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Solution

The third proportional to 69,907 and 164,197 is: 385,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,907 : 164,197 = 164,197 : x
  2. Step 2: Convert to fraction form
    69,907/164,197 = 164,197/x
  3. Step 3: Cross multiply
    69,907x = 164,197 × 164,197
  4. Step 4: Simplify right side
    69,907x = 26,960,654,809
  5. Step 5: Solve for x
    x = 26,960,654,809/69,907
  6. Step 6: Final answer
    x = 385,664.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.