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Finding the Third Proportional to 200,838 and 436,680

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Solution

The third proportional to 200,838 and 436,680 is: 949,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,838 : 436,680 = 436,680 : x
  2. Step 2: Convert to fraction form
    200,838/436,680 = 436,680/x
  3. Step 3: Cross multiply
    200,838x = 436,680 × 436,680
  4. Step 4: Simplify right side
    200,838x = 190,689,422,400
  5. Step 5: Solve for x
    x = 190,689,422,400/200,838
  6. Step 6: Final answer
    x = 949,468.84

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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.