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Finding the Third Proportional to 187,938 and 281,997

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Solution

The third proportional to 187,938 and 281,997 is: 423,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,938 : 281,997 = 281,997 : x
  2. Step 2: Convert to fraction form
    187,938/281,997 = 281,997/x
  3. Step 3: Cross multiply
    187,938x = 281,997 × 281,997
  4. Step 4: Simplify right side
    187,938x = 79,522,308,009
  5. Step 5: Solve for x
    x = 79,522,308,009/187,938
  6. Step 6: Final answer
    x = 423,130.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.