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Finding the Third Proportional to 200,817 and 434,695

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Solution

The third proportional to 200,817 and 434,695 is: 940,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,817 : 434,695 = 434,695 : x
  2. Step 2: Convert to fraction form
    200,817/434,695 = 434,695/x
  3. Step 3: Cross multiply
    200,817x = 434,695 × 434,695
  4. Step 4: Simplify right side
    200,817x = 188,959,743,025
  5. Step 5: Solve for x
    x = 188,959,743,025/200,817
  6. Step 6: Final answer
    x = 940,954.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.