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Finding the Third Proportional to 102,436 and 222,366

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Solution

The third proportional to 102,436 and 222,366 is: 482,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,436 : 222,366 = 222,366 : x
  2. Step 2: Convert to fraction form
    102,436/222,366 = 222,366/x
  3. Step 3: Cross multiply
    102,436x = 222,366 × 222,366
  4. Step 4: Simplify right side
    102,436x = 49,446,637,956
  5. Step 5: Solve for x
    x = 49,446,637,956/102,436
  6. Step 6: Final answer
    x = 482,707.62

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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.