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Finding the Third Proportional to 200,170 and 439,701

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Solution

The third proportional to 200,170 and 439,701 is: 965,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,170 : 439,701 = 439,701 : x
  2. Step 2: Convert to fraction form
    200,170/439,701 = 439,701/x
  3. Step 3: Cross multiply
    200,170x = 439,701 × 439,701
  4. Step 4: Simplify right side
    200,170x = 193,336,969,401
  5. Step 5: Solve for x
    x = 193,336,969,401/200,170
  6. Step 6: Final answer
    x = 965,863.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.