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Finding the Third Proportional to 200,866 and 436,684

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Solution

The third proportional to 200,866 and 436,684 is: 949,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866 : 436,684 = 436,684 : x
  2. Step 2: Convert to fraction form
    200,866/436,684 = 436,684/x
  3. Step 3: Cross multiply
    200,866x = 436,684 × 436,684
  4. Step 4: Simplify right side
    200,866x = 190,692,915,856
  5. Step 5: Solve for x
    x = 190,692,915,856/200,866
  6. Step 6: Final answer
    x = 949,353.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.