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Finding the Third Proportional to 187,966 and 281,889

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Solution

The third proportional to 187,966 and 281,889 is: 422,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,966 : 281,889 = 281,889 : x
  2. Step 2: Convert to fraction form
    187,966/281,889 = 281,889/x
  3. Step 3: Cross multiply
    187,966x = 281,889 × 281,889
  4. Step 4: Simplify right side
    187,966x = 79,461,408,321
  5. Step 5: Solve for x
    x = 79,461,408,321/187,966
  6. Step 6: Final answer
    x = 422,743.52

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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.