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Finding the Third Proportional to 281,510 and 422,634

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Solution

The third proportional to 281,510 and 422,634 is: 634,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,510 : 422,634 = 422,634 : x
  2. Step 2: Convert to fraction form
    281,510/422,634 = 422,634/x
  3. Step 3: Cross multiply
    281,510x = 422,634 × 422,634
  4. Step 4: Simplify right side
    281,510x = 178,619,497,956
  5. Step 5: Solve for x
    x = 178,619,497,956/281,510
  6. Step 6: Final answer
    x = 634,504.98

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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.