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Finding the Third Proportional to 129,589 and 211,608

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Solution

The third proportional to 129,589 and 211,608 is: 345,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,589 : 211,608 = 211,608 : x
  2. Step 2: Convert to fraction form
    129,589/211,608 = 211,608/x
  3. Step 3: Cross multiply
    129,589x = 211,608 × 211,608
  4. Step 4: Simplify right side
    129,589x = 44,777,945,664
  5. Step 5: Solve for x
    x = 44,777,945,664/129,589
  6. Step 6: Final answer
    x = 345,538.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.