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Finding the Third Proportional to 199,996 and 281,280

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Solution

The third proportional to 199,996 and 281,280 is: 395,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,996 : 281,280 = 281,280 : x
  2. Step 2: Convert to fraction form
    199,996/281,280 = 281,280/x
  3. Step 3: Cross multiply
    199,996x = 281,280 × 281,280
  4. Step 4: Simplify right side
    199,996x = 79,118,438,400
  5. Step 5: Solve for x
    x = 79,118,438,400/199,996
  6. Step 6: Final answer
    x = 395,600.10

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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.