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Finding the Third Proportional to 187,823 and 281,680

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Solution

The third proportional to 187,823 and 281,680 is: 422,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,823 : 281,680 = 281,680 : x
  2. Step 2: Convert to fraction form
    187,823/281,680 = 281,680/x
  3. Step 3: Cross multiply
    187,823x = 281,680 × 281,680
  4. Step 4: Simplify right side
    187,823x = 79,343,622,400
  5. Step 5: Solve for x
    x = 79,343,622,400/187,823
  6. Step 6: Final answer
    x = 422,438.27

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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.