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Finding the Third Proportional to 281,772 and 422,793

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Solution

The third proportional to 281,772 and 422,793 is: 634,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,772 : 422,793 = 422,793 : x
  2. Step 2: Convert to fraction form
    281,772/422,793 = 422,793/x
  3. Step 3: Cross multiply
    281,772x = 422,793 × 422,793
  4. Step 4: Simplify right side
    281,772x = 178,753,920,849
  5. Step 5: Solve for x
    x = 178,753,920,849/281,772
  6. Step 6: Final answer
    x = 634,392.06

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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.