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Finding the Third Proportional to 66,212 and 102,589

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Solution

The third proportional to 66,212 and 102,589 is: 158,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,212 : 102,589 = 102,589 : x
  2. Step 2: Convert to fraction form
    66,212/102,589 = 102,589/x
  3. Step 3: Cross multiply
    66,212x = 102,589 × 102,589
  4. Step 4: Simplify right side
    66,212x = 10,524,502,921
  5. Step 5: Solve for x
    x = 10,524,502,921/66,212
  6. Step 6: Final answer
    x = 158,951.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.