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Finding the Third Proportional to 131,809 and 210,167

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Solution

The third proportional to 131,809 and 210,167 is: 335,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,809 : 210,167 = 210,167 : x
  2. Step 2: Convert to fraction form
    131,809/210,167 = 210,167/x
  3. Step 3: Cross multiply
    131,809x = 210,167 × 210,167
  4. Step 4: Simplify right side
    131,809x = 44,170,167,889
  5. Step 5: Solve for x
    x = 44,170,167,889/131,809
  6. Step 6: Final answer
    x = 335,107.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.