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Finding the Third Proportional to 127,912 and 281,204

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Solution

The third proportional to 127,912 and 281,204 is: 618,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,912 : 281,204 = 281,204 : x
  2. Step 2: Convert to fraction form
    127,912/281,204 = 281,204/x
  3. Step 3: Cross multiply
    127,912x = 281,204 × 281,204
  4. Step 4: Simplify right side
    127,912x = 79,075,689,616
  5. Step 5: Solve for x
    x = 79,075,689,616/127,912
  6. Step 6: Final answer
    x = 618,203.84

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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.