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Finding the Third Proportional to 187,758 and 281,718

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Solution

The third proportional to 187,758 and 281,718 is: 422,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,758 : 281,718 = 281,718 : x
  2. Step 2: Convert to fraction form
    187,758/281,718 = 281,718/x
  3. Step 3: Cross multiply
    187,758x = 281,718 × 281,718
  4. Step 4: Simplify right side
    187,758x = 79,365,031,524
  5. Step 5: Solve for x
    x = 79,365,031,524/187,758
  6. Step 6: Final answer
    x = 422,698.53

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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.