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Finding the Third Proportional to 200,686 and 435,920

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Solution

The third proportional to 200,686 and 435,920 is: 946,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,686 : 435,920 = 435,920 : x
  2. Step 2: Convert to fraction form
    200,686/435,920 = 435,920/x
  3. Step 3: Cross multiply
    200,686x = 435,920 × 435,920
  4. Step 4: Simplify right side
    200,686x = 190,026,246,400
  5. Step 5: Solve for x
    x = 190,026,246,400/200,686
  6. Step 6: Final answer
    x = 946,883.42

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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.