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Finding the Third Proportional to 187,825 and 281,738

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Solution

The third proportional to 187,825 and 281,738 is: 422,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,825 : 281,738 = 281,738 : x
  2. Step 2: Convert to fraction form
    187,825/281,738 = 281,738/x
  3. Step 3: Cross multiply
    187,825x = 281,738 × 281,738
  4. Step 4: Simplify right side
    187,825x = 79,376,300,644
  5. Step 5: Solve for x
    x = 79,376,300,644/187,825
  6. Step 6: Final answer
    x = 422,607.75

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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.