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Finding the Third Proportional to 204,155 and 290,352

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Solution

The third proportional to 204,155 and 290,352 is: 412,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,155 : 290,352 = 290,352 : x
  2. Step 2: Convert to fraction form
    204,155/290,352 = 290,352/x
  3. Step 3: Cross multiply
    204,155x = 290,352 × 290,352
  4. Step 4: Simplify right side
    204,155x = 84,304,283,904
  5. Step 5: Solve for x
    x = 84,304,283,904/204,155
  6. Step 6: Final answer
    x = 412,942.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.