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Finding the Third Proportional to 281,738 and 422,729

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Solution

The third proportional to 281,738 and 422,729 is: 634,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,738 : 422,729 = 422,729 : x
  2. Step 2: Convert to fraction form
    281,738/422,729 = 422,729/x
  3. Step 3: Cross multiply
    281,738x = 422,729 × 422,729
  4. Step 4: Simplify right side
    281,738x = 178,699,807,441
  5. Step 5: Solve for x
    x = 178,699,807,441/281,738
  6. Step 6: Final answer
    x = 634,276.55

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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.