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Finding the Third Proportional to 200,016 and 281,312

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Solution

The third proportional to 200,016 and 281,312 is: 395,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,016 : 281,312 = 281,312 : x
  2. Step 2: Convert to fraction form
    200,016/281,312 = 281,312/x
  3. Step 3: Cross multiply
    200,016x = 281,312 × 281,312
  4. Step 4: Simplify right side
    200,016x = 79,136,441,344
  5. Step 5: Solve for x
    x = 79,136,441,344/200,016
  6. Step 6: Final answer
    x = 395,650.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.