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Finding the Third Proportional to 192,543 and 422,286

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Solution

The third proportional to 192,543 and 422,286 is: 926,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,543 : 422,286 = 422,286 : x
  2. Step 2: Convert to fraction form
    192,543/422,286 = 422,286/x
  3. Step 3: Cross multiply
    192,543x = 422,286 × 422,286
  4. Step 4: Simplify right side
    192,543x = 178,325,465,796
  5. Step 5: Solve for x
    x = 178,325,465,796/192,543
  6. Step 6: Final answer
    x = 926,159.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.