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Finding the Third Proportional to 95,694 and 204,476

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Solution

The third proportional to 95,694 and 204,476 is: 436,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,694 : 204,476 = 204,476 : x
  2. Step 2: Convert to fraction form
    95,694/204,476 = 204,476/x
  3. Step 3: Cross multiply
    95,694x = 204,476 × 204,476
  4. Step 4: Simplify right side
    95,694x = 41,810,434,576
  5. Step 5: Solve for x
    x = 41,810,434,576/95,694
  6. Step 6: Final answer
    x = 436,918.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.