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Finding the Third Proportional to 192,980 and 293,326

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Solution

The third proportional to 192,980 and 293,326 is: 445,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,980 : 293,326 = 293,326 : x
  2. Step 2: Convert to fraction form
    192,980/293,326 = 293,326/x
  3. Step 3: Cross multiply
    192,980x = 293,326 × 293,326
  4. Step 4: Simplify right side
    192,980x = 86,040,142,276
  5. Step 5: Solve for x
    x = 86,040,142,276/192,980
  6. Step 6: Final answer
    x = 445,850.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.