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Finding the Third Proportional to 281,512 and 422,637

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Solution

The third proportional to 281,512 and 422,637 is: 634,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,512 : 422,637 = 422,637 : x
  2. Step 2: Convert to fraction form
    281,512/422,637 = 422,637/x
  3. Step 3: Cross multiply
    281,512x = 422,637 × 422,637
  4. Step 4: Simplify right side
    281,512x = 178,622,033,769
  5. Step 5: Solve for x
    x = 178,622,033,769/281,512
  6. Step 6: Final answer
    x = 634,509.48

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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.