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Finding the Third Proportional to 200,198 and 439,770

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Solution

The third proportional to 200,198 and 439,770 is: 966,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,198 : 439,770 = 439,770 : x
  2. Step 2: Convert to fraction form
    200,198/439,770 = 439,770/x
  3. Step 3: Cross multiply
    200,198x = 439,770 × 439,770
  4. Step 4: Simplify right side
    200,198x = 193,397,652,900
  5. Step 5: Solve for x
    x = 193,397,652,900/200,198
  6. Step 6: Final answer
    x = 966,031.89

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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.