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Finding the Third Proportional to 281,938 and 619,698

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Solution

The third proportional to 281,938 and 619,698 is: 1,362,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,938 : 619,698 = 619,698 : x
  2. Step 2: Convert to fraction form
    281,938/619,698 = 619,698/x
  3. Step 3: Cross multiply
    281,938x = 619,698 × 619,698
  4. Step 4: Simplify right side
    281,938x = 384,025,611,204
  5. Step 5: Solve for x
    x = 384,025,611,204/281,938
  6. Step 6: Final answer
    x = 1,362,092.41

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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.