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Finding the Third Proportional to 102,600 and 222,696

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Solution

The third proportional to 102,600 and 222,696 is: 483,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,600 : 222,696 = 222,696 : x
  2. Step 2: Convert to fraction form
    102,600/222,696 = 222,696/x
  3. Step 3: Cross multiply
    102,600x = 222,696 × 222,696
  4. Step 4: Simplify right side
    102,600x = 49,593,508,416
  5. Step 5: Solve for x
    x = 49,593,508,416/102,600
  6. Step 6: Final answer
    x = 483,367.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.